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Scientific and Administrative Report 2006

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Scientific and Administrative Report 2006 Powered By Docstoc
					Scientific and Administrative Report
                2006
Table of contents

1 Financing

2 Intensive Research Periods
  2.1 Stochastic Analysis, Stochastic Partial Differential Equations and Applications to
  Fluid Dynamics and Particle Systems
  2.2 Calculus of Variations and Partial Differential Equations

3 Workshops
  3.1 Modelling and analysis of phase transitions
  3.2 Philosophy of Mathematics Today
  3.3 Mathematical aspects of high performance codes: state of the art and open
  problems
  3.4 Recenti sviluppi della geometria complessa, differenziale, simplettica
  3.5 Four mini courses on fine properties of solutions of Partial Differential Equations
  (in memory of Filippo Chiarenza and Gene Fabes)
  3.6 Microlocal Analysis and Applications to PDEs
  3.7 Recent Advances on the Perona-Malik Equation
  3.8 Geometric Evolutions and Applications


4 Schools
  4.1 School on Neuromathematics of Vision


5 Visitors
  5.1 Junior Visitors
  5.2 Senior Visitors


6 Public Lectures: Matematica, Cultura e Società

7 Research Groups

8 Pubblications

9 List of visitors
This is the scientific and administrative report concerning the year 2006.



1 Financing

The three founding institutions agreed to finance the Center with the institutional funding:

   350,000.00 Euro for 2006 (Scuola Normale Superiore, Pisa: 200,000.00; Uni Pisa:
   100,000.00; Scuola Sant'Anna: 50,000.00)

Moreover, the Scuola Normale, besides putting the seat at the Center's disposal, takes care
of most of the running costs to be evaluated in about
   70,000.00/90,000.00 Euro per year.

In addition to the institutional funding, the Center received in 2006

  7,000.00     Euro from the University of Firenze
 30,000.00     Euro from the University of Trento
 25,000.00     Euro from the town of Lizzanello
  7,000.00     Euro from the DEIS of Bologna
  1,000.00     Euro from a private donator;

moreover the Center received the following supports, which however appear on the
annual budgets of the respective boards:

   50,000.00    Euro from INDAM
    6,700.00    Euro from GNAMPA
   16,747.31    Euro from research funds of the Dept. of Math of the University of Pisa
   30,700.00    Euro from research funds of the Scuola Normale Superiore
    6,680.00    Euro from research funds of the Dept. of Math of the University of Bologna
    3,000.00    Euro from research funds of the DEIS of the University of Bologna
    6,000.00    Euro from research funds of SISSA
      800.00    Euro from research funds of the Dept. of Math of the University of Trento
      830.00    Euro from research funds of the Dept. of Math of the University of Catania
   15,000.00    Euro from the Fondazione Cassa di Risparmio di Lucca

In conclusion

  • total financing for 2006 on the annual budget of the Center: Euro 420,000.00
  • total financing for 2006 on the annual budget of other institutions: Euro. 136,457.31
Bilancio 2006
Disponibilità                                                             575,390.68
Residuo 2005                                                 155,390.68
Scuola Normale Superiore                                     150,000.00
Università di Pisa                                           100,000.00
Scuola Sant’Anna                                              50,000.00
Contributo aggiuntivo SNS                                     50,000.00
Università di Firenze                                          7,000.00
Università di Trento                                          30,000.00
Comune di Lizzanello                                          25,000.00
D.E.I.S. di Bologna                                            7,000.00
Donazione                                                      1,000.00
Spese                                                                     375,330.25
Stochastic Analysis                                           68,049.86
Calculus of Variations and PDE                                44,597.52
Modelling and analysis of phase transitions                    5,468.23
Philosophy of Mathematics Today                                4,671.96
Recenti sviluppi della geometria complessa, differenziale,     2,578.16
simplettica
School on Neuromathematics of Vision                          13,500.00
Four mini courses on fine properties of solutions of          12,120.00
Partial Differential Equations (in memory of Filippo
Chiarenza and Gene Fabes)
Visitatori                                                    96,281.94
Attività culturali                                             3,940.23
Funzionamento/Consumi                                         19,757.26
Funzionamento/Rapporti esterni                                 3,941.92
Collaborazioni                                                62,023.00
Mobili/Strumenti                                                780.00
Spese relative al 2005                                        37,620.17
Residuo                                                                   200,060.43
Bilancio 2006 (su bilancio di altri enti)
Disponibilità                                                       167,256.77
Residuo CariLucca                                       30,799.46
CariLucca Junior Visitors                               15,000.00
INDAM                                                   50,000.00
GNAMPA                                                   6,700.00
PRIN Università di Pisa                                 16,747.31
PRIN SNS                                                30,700.00
Dipartimento di Matematica, Bologna                      6,680.00
DEIS Bologna                                             3,000.00
SISSA                                                    6,000.00
Dipartimento di Matematica, Trento                        800.00
Dipartimento di Matematica, Catania                       830.00
Spese                                                               167,256.77
Stochastic Analysis                                     70,247.31
Calculus of Variations and PDE                          33,200.00
Modelling and analysis of phase transitions               800.00
Mathematical aspects of high performance codes: state    6,700.00
of the art and open problems
School on Neuromathematics of Vision                     9,680.00
Four mini courses on fine properties of solutions of      830.00
Partial Differential Equations (in memory of Filippo
Chiarenza and Gene Fabes)
Junior visitors                                         15,000.00
Visitatori                                              30,799.46
Residuo                                                                   0.00
2 Intensive Research Periods

2.1 Stochastic Analysis, Stochastic Partial Differential Equations and Applications to
Fluid Dynamics and Particle Systems
Partially supported by INDAM
March 1 – July 31 2006

Scientific Committee: Giuseppe Da Prato (Scuola Normale Superiore, Pisa), Franco Flandoli
(Università di Pisa), Giovanni Jona Lasinio (Università di Roma “La Sapienza”), Etienne
Pardoux (Université de Provence), Michael Röckner (Universität Bielefeld)

Participants included:

  Luigi Accardi (Università di Roma "La Sapienza"), Sergio Albeverio (Universität Bonn), Viorel Barbu
  (Università Al. I. Cuza Iasi, Romania), Lorenzo Bertini (Università di Roma), Dirk Blömker (Institut für
  Mathematik, RWTH Aachen), Erwin Bolthausen (Universität Zürich), Stefano Bonaccorsi (Dipartimento
  di Matematica, Università di Trento), Zdzislaw Brzezniak (The University of York), Rainer Buckdahn
  (Université de Bretagne Occidentale), Tomás Caraballo (Universidad de Sevilla), Francesco Caravenna
  (Universität Zürich), Sandra Cerrai (Università di Firenze), Hans Crauel (Technische Universität
  Ilmenau), Ana Bela Cruzeiro (Universidade de Lisboa), Paolo Dai Pra (Università di Padova), Robert
  Dalang (École Polytechnique Fédérale de Lausanne), Anne de Bouard (Universite de Paris XI), Arnaud
  Debussche (IRMAR and ENS de Cachan), Jean Dominique Deuschel (TU Berlin), Marco Dozzi (IECN,
  Université Nancy 2, France), Jinqiao Duan (Illinois Insitute of Technology), Kenneth David Elworthy
  (University of Warwick), Benedetta Ferrario (Università di Pavia), Mark Freidlin (Department of
  Mathematics, University of Maryland), Marco Fuhrman (Politecnico di Milano), Tadahisa Funaki
  (University of Tokyo), Alberto Gandolfi (Dipartimento di Matematica U. Dini Università di Firenze),
  Giambattista Giacomin (Université Paris 7), Beniamin Goldys (The University of New South Wales),
  Fausto Gozzi (Università LUISS, Dipartimento di Scienze Economiche ed Aziendali), Martin Grothaus
  (University of Kaiserslautern), Francesco Guerra (Università di Roma), Archil Gulisashvili (Ohio
  University), Martin Hairer (The University of Warwick), Peter Imkeller (Institut für Mathematik,
  Humboldt Universität zu Berlin), Marco Isopi (Università di Roma “La Sapienza”), Giovanni Jona Lasinio
  (Università di Roma "La Sapienza"), Peter Kloeden (JW Goethe University, Frankfurt am Main), Yuri
  Kondratiev (Dept. of Math., Bielefeld University, Germany), Peter Kotelenez (Case Western Reserve
  University), Nicolai Krylov (University of Minnesota), Sergei B. Kuksin (Heriot Watt University,
  Edinburgh), Claudio Landim (IMPA), José Antonio Langa (Universidad de Sevilla), Yves Le Jan
  (Université Paris 11, Orsay), Remi Leandre (Université de Bourgogne), Xue Mei Li (The Nottingham
  Trent University), Hannelore Inge Lisei (Babes Bolyai University, Cluj Napoca), Paul Malliavin
  (Université Pierre et Marie Curie Paris), Fabio Martinelli (Università di Roma Tre), Bohdan Maslowski
  (Mathematical Institute, Czech Academy of Sciences), Jonathan Mattingly (Duke University), Jose Luis
  Menaldi (Wayne State University), Annie Millet (SAMOS, Université Paris 1), Laura Maria Morato
  (Dipartimento di Informatica, Università di Verona).Tom Mountford (EPFL), Carl Mueller (University of
  Rochester), Leonid Mytnik (Israel Institute of Technology), Cyril Odasso (Ecole Normale Supérieure de
  Cachan), Stefano Olla (CEREMADE, Université Paris Dauphine), Etienne Pardoux (Université de
  Provence), Szymon Peszat (Institute of Mathematisc, Polish Academy of Sciences), Gustavo Posta
  (Politecnico di Milano), Errico Presutti (Università di Roma Tor Vergata, Dipartimento di Matematica),
  Enrico Priola (Dipartimento di Matematica, Università di Torino), James Robinson (University of
  Warwick), Michael Röckner (Faculty of Mathematics, Bielefeld University), Marco Romito (Università di
  Firenze), Barbara Rüdiger (Mathematisches Institut, Universität Koblenz Landau), Francesco Russo
  (Université Paris 13, Institut Galilée), Marta Sanz Solé (Facultat de Matemàtiques. Universitat de
  Barcelona), Michael Scheutzow (Institut fuer Mathematik, TU Berlin), Björn Schmalfuß (University of
  Paderborn), Armen Shirikyan (Université de Paris Sud), Yakov Sinai (Princeton University), Sritharan
  Sivaguru. S. (University of Wyoming), Zeev Sobol (Swansea University, Uk), Panagiotis Souganidis
  (Department of Mathematics The University of Texas at Austin), Richard Sowers (University of Illinois),
  Wilhelm Stannat (Universitaet Bielefeld), Andrew Stuart (Warwick University, Mathematics
  Department), Padma Sundar (Louisiana State University), Gianmario Tessitore (Università di Milano –
  Bicocca), Samy Tindel (IECN Université de Nancy 1), Aubrey Truman (University of Wales Swansea),
  Luciano Tubaro (Università di Trento), Pierre Vuillermot (Université Henri Poincaré, Nancy), Jerzy
  Zabczyk (Institute of Mathematics Polish Academy of Sciences, Warsaw, Poland), Lorenzo Zambotti
  (Politecnico di Milano), Boguslaw Zegarlinski (Imperial College London), Tusheng Zhang (University of
  Manchester), Alessio Ansuini (Università di Roma 1), Giada Basile (Università di Firenze), Arnaud
  Basson (Ecole Normale Superieure, Paris), Lorenzo Bertini (Università di Roma “La Sapienza”), Hakima
  Bessaih (University of Wyoming, Department of Mathematics), Alessandra Bianchi (Università di Roma
  3), Fabrice Blache (University of Bonn), Pavel Bubak (University of Warwick), Michael Caruana
  (University of Oxford), Roy Cerqueti Università di Roma “La Sapienza”), Fulvia Confortola (Politecnico
  di Milano), Daniel Conus (EPFL Lausanne), Davide Gabrielli (Università de L'Aquila), Ana Patricia
  Gonçalves (IMPA), Giuseppina Guatteri (Politecnico di Milano), Massimiliano Gubinelli (Università di
  Pisa, Dipartimento di Matematica Applicata), Roberto Guenzani (Dipartimanto Matematica, Milano),
  Markus Haase (Department of Pure Mathematics, University of Leeds), Nicola Kistler (University of
  Zurich), Tobias Kuna (Università di Roma “La Sapienza” and Bielefeld, Germany), Luigi Manca (Scuola
  Normale Superiore), Maria Elvira Mancino (DIMAD University of Firenze), Iuliana Marchis (Babes Bolyai
  University), Federica Masiero (Politecnico di Milano), Ida Minelli (Università degli Studi di Padova,
  Dipartimento di Matematica Pura ed Applicata), Philippe Mounaix (CNRS, Ecole Polytechnique),
  Grigorios Pavliotis (Imperial College London), Alessandro Pellegrinotti (Università di Roma Tre), Marco
  Ribezzi (Università di Roma 1), Elena Sartori (Università di Padova), Oliver Tearne (University of
  Warwick), Marco Tolotti (Università Bocconi, Milano), Giacomo Ziglio (Università di Trento), Kasra
  Alishahi Sharif (University of Technology), Cedric Bernardin (Ecole Normale Supérieure, Lyon),
  Alessandra Faggionato (Dipartimento di Matematica. Università di Roma “La Sapienza”), Eric Gautier
  (Ecole Normale Superieure, Cachan), Maria Gordina (Department of Mathematics, University of
  Connecticut), Ludovic Goudenège (Ecole Normale Supérieure de Cachan), Erika Hausenblas (University
  of Salzburg), Milton Jara (IMPA), Oleksandr Kutovyy (Faculty of Mathematics, University of Bielefeld),
  Seung Lee (Ohio State University), Carlo Marinelli Università di Bonn), Vahagn Nersesyan (Universite de
  Paris Sud XI), Anna Rusinek (Institute of mathematics of the Polish Academy of Sciences), Gerald
  Trutnau (Universitaet Bielefeld), Ciprian Tudor (Université de Paris 1 Pantheon Sorbonne), Jochen Voss
  (University of Warwick)


Whitin this program the following workshops took place:

“Random Dynamical Systems in Infinite Dimensions”

P. Malliavin, Regularity of the heat semigroup on the diffeomorphism group of the circle;
Y. Le Jan, Between coalescence and diffusion;
Z. Brzezniak, Asymptotic compactness for 2D Stochastic Navier-Stokes equations with
multiplicative noise;
P. Kloeden, Discretization of asymptotically stable stationary solutions of delay;
H. Crauel, Stabilization by rotation;
M. Gordina, Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type;
E. Hausenblas, SPDEs driven by Poisson Random measure;
D. Elworthy, Decomposition of diffusions;
J. Robinson, Embedding theorems for random attractors;
B. Schmalfuss, Invariant manifolds for stochastic wave equation;
T. Caraballo, Synchronization of a stochastic reaction-diffusion system on a thin two-layer
domain;
J. Langa, Flattening, squeezing and the existence of attractors for random dynamical systems;
O. Tearne, Collapse of Random Attractors for Gradient SDE;

“Stochastic Partial Differential Equations”

P. Malliavin, Low regularity Stochastic flows and infinite dimensional Lie algebras;
V. Barbu, Stochastic wave equation with non-linear damping;
S. Tindel, Towards a pathwise definition of stochastic PDEs;
B. Goldys, Generation of diffusion semigroups in spaces of continuous functions;
G. Tessitore, On a class of stochastic optimal control problems related to BSDEs with quadratic
growth;
E. Priola, On bounded solutions to convolution equations;
E. Gautier, Escape from a basin of attraction for weakly damped stochastic non-linear Schrödinger
equations perturbed by small noise;
C. Marinelli, Optimal control of stochastic differential equations with memory;
C. Mueller, The speed of a random travelling wave;
A. Stuart, Stochastic PDEs for sampling conditioned diffusions I;
R. Buckdhan, Stochastic Taylor expansion and stochastic viscosity solutions for non-linear
SPDEs;
A. De Bouard, Soliton dynamics for stochastic perturbations of long wave equations;
M. Fuhrman, Some results on backward stochastic differential equations in infinite dimensions;
T.S. Zhang, Large deviations for SPDEs driven by Levy processes;
J. Voss, Stochastic PDEs for sampling conditioned diffusions II;
H. Lisei, SPDEs driven by fractional Brownian motion;
L. Mytnik, On uniqueness for stochastic heat equations with non-Lipschitz coefficients;
P. Souganidis, Stochastic homogenization;
R. Dalang, Hitting probabilities for the non-linear stochastic heat equation;
F. Russo, Some parabolic PDEs whose drift is an irregular random noise in space;
W. Stannat, Stability of the optimal filter w.r.t. its initial condition;
L. Zambotti, Stochastic PDEs with reflection and conservation of the space average;
M. Gordina, Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type;
B. Rüdiger, Relation between stochastic integrals w.r.t. Levy processes, compensated Poisson
random measures, and the geometry of Banach spaces;
A. Rusinek, Invariant measures for a class of stochastic differential equations;
M. Sanz-Solé, Approximations of elliptic SPDEs in high dimensions;
R. Leandre, Malliavin calculus of Bismut type without probability and its applications;
R. Sowers, Random ducks;
B. Maslowski, Ornstein-Uhlenbeck bridge and applications to semilinear SPDEs;
F. Gozzi, Verification theorems for infinite dimensional stochastic optimal control problems;
X.M. Li, Some remarks on perturbation of stochastic integrable Hamiltonian systems;
S. Bonaccorsi, Stochastic evolution equations with dynamical boundary conditions;
E. Hausenblas, The numerical approximation of the reflected stochastic heat equation;
L. Accardi, Connections within higher powers white noise and enlarged Virasoro algebra;
A. Millet, On the speed of convergence of discretization schemes for evolution equations;
M. Hairer, A spectral gap for the stochastic Navier-Stokes equations;
A. Lunardi, Ornstein-Uhlenbeck operators with periodic coefficients;
P. Vuillermot, Some recent results regarding fractional stochastic partial differential equations;
M. Dozzi, Blow-up behaviour of certain PDE's and SPDE's of parabolic and hyperbolic type;
D. Blömker, On a Model from Surface-Growth;
S. Cerrai, On the ergodic properties of some classes of SPDEs;

“Hydrodynamic limits and Particle Systems”

M. Freidlin, Reaction-advection in incompressible fluid;
C. Landim, Nonequilibrium current large deviations in interacting particle systems;
G. Giacomin, Brownian scaling and universality for directed polymers;
A. Faggionato, Mott variable-range random walk;
T. Kuna, A Bochner type theorem for Bogoliubov functionals;
M. Gubinelli, Gibbs measures on Brownian paths;
P. Gonçalves, Central limit theorem for a tagged particle in asymmetric simple exclusion;
M. Jara, Hydrodynamic limit for diffusive systems with bond disorder;
B. Zegarlinski, Linear and Nonlinear Problems in Large interacting Systems;
S. Olla, Microscopic models for heat conduction;
Y. Kondratiev, Scaling limits for Kawasaki dynamics in continuum;
C. Bernardin, Large deviations for a heat conduction model
L. Zambotti, Fluctuations for interface models near a wall and with conservation of the space
average;
F. Caravenna, A renewal theory approach to weakly inhomogeneous polymer models;
O. Kutovyy, On non-equilibrium stochastic dynamics for interacting particle systems in
continuum;
G. Posta, Ecological Equilibrium for an Unbounded Contact Process;
J.-D. Deuschel, Scaling limits of non nearest neighbor pinning models in (1+1)-dimension;
M. Röckner, Stochastic porous media and fast diffusion equations;
F. Martinelli, Kinetically constrained spin models: rigorous results;
S. Cerrai, On the Smolukowski- Kramers approximation for a general class of SPDE's;
M. Isopi, Scaling limits of 1-d dynamics at low temperature;
M. Grothaus, Strong Feller properties and applications to continuous N-particle systems with
reflecting boundary condition;
Z. Sobol, Method of Lyapunov functions with application to QG equation;
S. Lee, Reflected Rouse Model;
T. Funaki, The Brascamp-Lieb inequality and its applications;
G. Jona-Lasinio, An informal introduction to molecular motors;
L. Bertini, Large deviations for weakly asymmetric stochastic lattice gases;

“Stochastic Fluid Mechanics and SPDEs”
A. B. Cruzeiro, Brownian motion on the diffeomorphisms group and global solution of a 2D
stochastic Euler equation;
J. C Mattingly, Ergodicity and a Spectral gap for the 2D Navier Stokes equations;
Z. Brzezniak, Stochastic Burgers equations driven by fractional Laplacian and space-time white
noise;
L. M. Morato, Stochastic model of a quantum fluid and generation of vortex lines;
Z. Sobol, TBA;
H. I. Lisei, Navier - Stokes Equations Perturbed by Fractional Brownian Motion;
A. Gulisashvili, Stochastic volatility models: Asymptotic behavior of distribution densities;
V. Barbu, Local Ergodic Behaviour of a Stabilized 2-D Navier-Stokes Equations Perturbed by
Noise;
E. Pardoux, Homogenization of possibly degenerate periodic PDEs; a probabilistic approach;
G. Jona-Lasinio, Violation of time reversal invariance and long range space correlations;
S. Albeverio, Some new developments in infinite-dimensional analysis (related to work by
Giuseppe Da Prato);
A. Debussche, Markov solutions for the 3D stochastic Navier-Stokes equations with state
dependent noise;
M. Röckner, Elliptic and parabolic partial differential equations for measures;
M. Scheutzow, Dispersion of sets under a stochastic flow;
S. Peszat, Passive tracer dynamics;
A. Shirikyan, Qualitative properties of 3D Navier-Stokes dynamics;
F.-Y. Wang, Harnack Inequality and Applications for Stochastic Generalized Porous Media
Equations;
P. Imkeller, Transitions between meta-stable states induced by Levy noise;
J. Duan, Effective Macroscopic Dynamics of Stochastic Partial Differential;
P. Kotelenez, Macroscopic Limit for the Vorticity Distribution in a 2D Fluid;
M. Hairer, Intermittent behaviour of the stochastic Burgers equations;
M. Mariani, Large deviations principle for stochastically perturbed conservation laws;
V. Nersesyan, Polynomial mixing for the complex Ginzburg-Landau equation perturbed by a
random force at random times;
A. Truman, The Maxwell set and other singularities of Stochastic Burgers equations;
P. Sundar, Large Deviations for Stochastic Navier-Stokes equations;
D. Blömker, Stochastic Dynamics near a Bifurcation - Amplitude Equations;
M. Romito, Markov solutions and their properties for the stochastic 3D Navier-Stokes equations;
B. Ferrario, On a stochastic version of Prouse model in fluid dynamics;
C. Odasso, Spectral gap and asymptotic strong Feller property for Reaction Diffusion equation
driven by a Levy-type noise;

The following series of lectures were also presented:

Erwin Bolthausen (Universität Zürich), “Random walks in random environments”;
Arnaud Debussche (IRMAR and ENS de Cachan), “Introduction to dispersive SPDEs”;
Mark Freidlin (University of Maryland), “Averaging principle and long time behavior of
weakly coupled oscillators”;
Tadahisa Funaki (University of Tokyo), “Some topics on an effective interface model”;
Beniamin Goldys (The University of New South Wales), “Elements of Ergodic Theory for
SPDEs”;
Francesco Guerra (Università di Roma),“Introduction to the theory of spin glasses”;
Nicolai Krylov (University of Minnesota), “On the maximum principle for SPDEs, the
continuity of their solutions, and the law of square root for Brownian motion”;
Sergei Kuksin (Heriot-Watt University, Edinburgh), “Khasminski-Whitham averaging for
randomly perturbed KdV equation”;
Claudio Landim (IMPA), “Central limit theorem for Markov processes”;
Paul Malliavin (Université Pierre et Marie Curie), “Stochastic Analysis in Infinite
Dimension”;
Fabio Martinelli (Università di Roma 3), “Some topics in Glauber dynamics for spin
systems”;
Jonathan C. Mattingly (Duke University), “Asymptotic strong feller and Ergodicity of
SPDEs” and “Smoothness of density (in projection) for SPDEs”;
Armen Shirikyan (Université de Paris-Sud XI), “Controllability of 3D Navier-Stokes
equations”;
Yakov Sinai (Princeton University), “Selected Problems from Fluid Dynamics”;
Panagiotis Souganidis (The University of Texas at Austin), “Stochastic Homogenization”;
Jerzy Zabczyk (Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland),
“Markov processes and stochastic equations”.

2.2 Calculus of Variations and Partial Differential Equations
September 1 – December 2006

Scientific Committee: Luigi Ambrosio  (Scuola Normale Superiore, Pisa ), Sun-Yung
(Alice) Chang (Princeton University), Gianni Dal Maso (SISSA), Lawrence Craig Evans
(Berkeley University), Felix Otto (Universität Bonn), Michael Struwe (Swiss Federal
Institute of Technology)

Participants included:

  Simon Brendle (Princeton University), Sun-Yung (Alice) Chang (Princeton University), Mihailis
  DaFermos (University of Cambridge), Olivier Druet (Ecole Normale Superieure Lyon), Matthew Gursky
  (Notre Dame University), Gerhard Huisken (Universität Tübingen), Ernst Kuwert (Universität Freiburg,
  Mathematisches Institut), Chang-Shou Lin (National Chung Cheng University, Taiwan), Andrea
  Malchiodi (SISSA, Trieste), Carlo Mantegazza (Scuola Normale Superiore), Frank Merle (Université de
  Cergy-Pontoise, Francia), Felix Otto (Universität Bonn), Fabrice Planchon (Institut Galilée, Université
  Paris 13), Oliver Schnuerer (Freie Universitaet Berlin), Peter Topping (University of Warwick), Jeff
  Viaclovsky (MIT), Paul Yang (Princeton University), Esther Cabezas-Rivas (Universidad de Valencia,
  Departamento de Geometría y Topología), Reto Mueller, Adriano Pisante (Università Roma 'La
  Sapienza'), Felix Schulze (Freie Universitaet Berlin), Xavier Blanc (Université Paris 6), Andrea Braides
  (Università di Roma "Tor Vergata"), Antonin Chambolle (CEREMADE), Sergio Conti (Universität
  Duisburg-Essen), Antonio De Simone (SISSA, Trieste), Gianpietro Del Piero (Università di Ferrara), Irene
  Fonseca (Mellon College of Science), Ilaria Fragalà (Politecnico di Milano), Gilles Francfort (LPMTM,
  Universite Paris-Nord), Gero Friesecke (University of Warwick), Adriana Garroni (Università di Roma
  “La Sapienza”), Richard D. James (University of Minnesota, Minneapolis), Claude Le Bris (CERMICS -
  Ecole Nationale des Ponts et Chaussees), Stefan Mueller (Max Planck Institute for Mathematics in the
  Sciences), Franco Tomarelli (Politecnico di Torino), Alessio Brancolini (SISSA – Trieste), Giuseppe
  Buttazzo (Università di Pisa), Andrea Cristofaro (Università di Roma "La Sapienza"), Virginia De Cicco
  (Università di Roma), Ernest Di Maio (Università degli Studi di Napoli Federico II), Maria Cristina
  Fichera (Università di Lecce), Maria Stella Gelli (Università di Pisa), Riccarda Rossi (Università di
  Brescia), Sascha Weitkamp (Università di Trento), Elvira Zappale (Università di Salerno), Patrick Bernard
  (Université Paris Dauphine), Yann Brenier (Université de Nice), Guillame Carlier (Ceremade, Université
  Paris Dauphine), Camillo De Lellis (Swiss Federal Institute of Technology Zurich), Luigi De Pascale
  (Università di Pisa), Shizan Fang (Université de Bourgogne), Albert Fathi (École Normale Supérieure de
  Lyon), Alessio Figalli (Scuola Normale Superiore), Wilfrid Gangbo (Georgia Institute of Technology),
  Robert J. McCann (University of Toronto), Benedetto Piccoli (Istituto per le Applicazioni del Calcolo
  "Mauro Picone"), Aldo Pratelli (Università di Pavia), Giuseppe Savare' (Dipartimento di Matematica,
  Università di Pavia), Sylvia Serfaty (Courant Institute, New York), Michael Struwe (Swiss Federal
  Institute of Technology), Karl-Theodor Sturm (Universität Bonn), Giuliana D'Ercole (Università degli
  Studi di Modena e Reggio Emilia), Alessandro Callisto Ghigi (Università di Milano Bicocca), Simon
  Masnou (Université Pierre et Marie Curie), Domenico Mucci (Università di Parma), Pierre Seppecher
  (Université de Toulon), Eugene Stepanov (Università di Pisa), Guy Bouchitté (University of Sud Toulon-
  Var), Emmanuel Hebey (Université de Cergy-Pontoise), Michael Ortiz (CALTECH California Institute of
  Technology), Giovanni Alberti (Università di Pisa), Roberta Alessandroni (Università di Roma Tor
  Vergata), Maria Emilia Amendola (Università di Salerno), Giorgio Antonangeli, Gabriella Arena
  (Università di Trento), Alberto Giorgio Arosio (Università di Parma), Jean-Francois Babadjian (SISSA,
  Trieste), Marco Barchiesi (SISSA, Trieste), Stefano Bianchini (SISSA, Trieste), Andrea Orazio Caruso
  (Dipartimento di Matematica e Informatica, UNICT), Giovanni Catino (Università di Pisa), Pierluigi
  Cesana (SISSA – Trieste), Thierry Champion (Université du Sud Toulon-Var), Valeria Chiado' Piat
  (Politecnico di Torino), Philippe Clement (Leiden University, The Netherlands), Gianluca Crippa (Scuola
  Normale Superiore di Pisa), Alexey Demyanov (SISSA, Trieste), Zindine Djadli (University of Cergy-
  Pontoise), Alessandro Duci, Yalchin Efendiev (Department of Mathematics, Texas A&M University),
  Michael Eichmair (Stanford University), Etienne Emmrich (TU Berlin, Institut fuer Mathematik), Alice
  Fiaschi (SISSA, Trieste), Antoine Gloria (Ecole Nationale des Ponts et Chaussées, Paris), Matteo Gloyer
  (SISSA Trieste), Kazuhiro Horihata, Ryan Hynd (University of California at Berkeley), Meiyue Jiang
  (School of Mathematical Sciences, Peking University), Chloé Jimenez (Scuola Normale Superiore, Pisa),
  Hwakil Kim (Georgia Institute of Technology), Stefano Lisini (Università degli Studi di Pavia), Valentino
  Magnani (Università di Pisa), Carlo Mariconda (Università di Padova), Luca Martinazzi (ETH Zurich),
  Sandra Rita Martinez (Universidad de Buenos Aires), Maria Giovanna Mora (SISSA, Trieste), Cheikh
  Birahim Ndiaye (SISSA, Trieste), Laurent Nocquet-Jeol (Université de Paris Dauphine), Giampiero
  Palatucci (Dipartimento di Matematica, Università di Roma Tre), Adriano Pisante (Università di Roma
  'La Sapienza'), Marc Oliver Rieger (ETH Zürich), Giuseppe Riey (Università della Calabria), Filippo
  Santambrogio (Scuola Normale Superiore, Pisa), David Sauzin (CNRS-IMCCE, Observatoire de Paris),
  Hélia Serrano (Universidad de Castilla-La Mancha), Miles Simon, Davide Vittone (Scuola Normale
  Superiore, Pisa), Nigel Wilkin-Smith (Australian National University), Ni Xiang (School of Science,
  Nanjing University of Science & Technology), Chiara Zanini (SISSA, Trieste), Caterina Ida Zeppieri
  (Dipartimento di Matematica, Università di Roma)


Whitin this program the following workshops took place:

“Nonlinear evolution problems”

S. Brendle, Boundary regularity of minimal maps between surfaces;
S.-Y. A. Chang, Boundary regularity of a 4th order elliptic system;
M. DaFermos, The problem of stability for black hole spacetimes in general relativity;
O. Druet, Quantification of blow-up levels for a 2-d elliptic equation with critical exponential
nonlinearity;
M. Gursky, A non-local flow for Riemann surfaces;
G. Huisken, Mean curvature type flows and an isoperimetric concept for mass and quasilocal mass
in General Relativity;
E. Kuwert, Conformal surfaces with bounds on their Willmore energy;
C.-S. Lin, Green functions, Elliptic functions and the Mean Field equations;
A. Malchiodi, Q-curvature flow on S4;
C. Mantegazza, Some remarks on Ricci solitons;
F. Merle, On global existence for solutions to the focusing energy-critical NLS monotone
quantities;
R. Mueller, Differential Harnack inequalities and Monotone Quantities;
F. Planchon, Global existence for H1 critical waves in 3d domains;
O. Schnuerer, Surfaces contracting with speed |A|2;
M. Struwe, TBA;
P. Topping, Ricci flow, entropy and optimal transportation;
J. Viaclovsky, Fully nonlinear equations in conformal geometry;

“Variational methods in Material Science”

X. Blanc, Stochastic lattices and their macroscopic limits;
A. Braides, Asymptotic analysis of binary discrete systems;
A. Chambolle, Rigid displacements with cracks;
S. Conti, A sharp-interface limit for the singularly perturbed Eikonal functional;
G. Dal Maso, Quasistatic evolution problems in plasticity with softening;
A. De Simone, Liquid crystals elastomers: modeling, analysis, and simulation;
G. Del Piero, Regularized descriptions of fracture;
I. Fonseca, Surfactants in foam stability: a phase field model;
I. Fragalà, The compliance of thin plates: modelling and optimization;
G. Francfort, Variational fracture and minimality;
G. Friesecke, Minimum energy configurations of classical charges;
A. Garroni, Variational methods for plasticity by homogenization of discrete dislocations;
R. D. James, New observations on the origins of hysteresis in phase transformations and
metastability in the calculus of variations;
C. Le Bris, Existence and uniqueness of solutions to Fokker-Planck type equations with irregular
coefficients;
S. Müller, TBA;
F. Otto, A compactness result in micromagnetics;
F. Tomarelli, A variational principle for plastic hinges;

“Optimal transport: theory and applications”

L. Ambrosio, Variational models for incompressible Euler equations and measures on action-
minimizing paths;
P. Bernard, Young measures, superposition and transport;
G. Bouchitté, Dimension reduction for linear constraint problems. Applications in optimal design;
Y. Brenier, Monge-Kantorovich stability and L2 formulation of multidimensional scalar
conservation laws;
G. Buttazzo, Asymptotics for a compliance-location problem;
G. Carlier, Optimal transportation with traffic congestion and Wardrop equilibria;
C. De Lellis, Estimates for ordinary differential equations with Sobolev coefficients;
L. De Pascale, Optimal transportation of certain distributions and applications;
S. Fang, Transportation cost inequalities and optimal transport maps on loop groups;
A. Fathi, Optimal transport on non-compact manifolds;
A. Figalli, Ricci curvature and displacement convexity;
W. Gangbo, Euler–Poisson systems as energy minimizing paths in the Wasserstein space P2(R);
R. J. McCann, Free Boundaries in Optimal Transport;
B. Piccoli, Traffic flow on networks;
A. Pratelli, On the sufficiency of c-cyclical monotonicity for the optimality of transport plans;
G. Savaré, Gradient flows in metric/Wasserstein spaces under lower curvature bounds;
S. Serfaty, A gradient flow approach to an evolution problem arising in superconductivity;
K.-T. Sturm, Optimal Transportation, Ricci Curvature and Diffusions on the L2-Wasserstein
Space;

The following series of lectures were also presented:

Patrick Bernard (Université Paris Dauphine), “Optimal transportation and Mather
theory”;
Yann Brenier (Université de Nice ), “Relative entropy methods for singular perturbations
of Hamiltonian PDE’s”;
Emmanuel Hebey (Université de Cergy-Pontoise), “Compactness for critical elliptic
systems in potential form”;
Gerard Huisken (Universität Tübingen), “Isoperimetric inequalities and the concepì of
mass in General Relativity”;
Ernest Kuwert (Universität Freiburg),“Analysis for the Willmore functional”;
Andrea Malchiodi (SISSA, Trieste), “High-order curvatures in conformal geometry”;
Michael Ortiz (CALTECH California), “From subgrain microstructures to polycrystals.
From atoms to dislocation structures. From quantum mechanics to lattice defects”;
Michael Struwe (Swiss Federal Institute of Technology), “Quantization issues in Geometric
PDE’s”;
Paul Yang (Princeton University), “Isoperimetric inequality in pseudohermitian
geometry”.
3 Workshops

3.1 Modelling and analysis of phase transitions
January 19 - 21, 2006
Organizing Committee: Stephan Luckhaus (Universität Leipzig), and Augusto Visintin
(Università di Trento)

Participants included:

  Giovanni Alberti (Dipartimento di Matematica, Università di Pisa), Giovanni Bollettini (Università di
  Roma “Tor Vergata”), Andrea Braides (Università di Roma “Tor Vergata”), Gianni Dal Maso (SISSA,
  Trieste), Anna De Masi (Dipartimento di Matematica, Università di L'Aquila), Antonio De Simone
  (SISSA, Trieste), Nicolas Dir (Max-Planck-Institut für Mathematik), Gilles Francfort (LPMTM, Université
  Paris-Nord), Antoine Gloria (CERMICS-ENPC), Elisabeth Logak (Université Cergy-Pontoise), Alexander
  Mielke (Weierstrass Institute for Applied Analysis and Stochastics), Regis Monneau (CERMICS – ENPC),
  Vincenza Orlandi (Università di Roma “Tor Vergata”), Federica Pezzotti (Università degli Studi
  dell’Aquila), Errico Presutti (Università di Roma “Tor Vergata”), Matthias Roeger (Eindhoven University
  of Technology), Giuseppe Savaré (Dipartimento di Matematica, Università di Pavia), Florian Theil
  (Warwick Mathematics Institute), Johannes Zimmer (University of Bath),


Lectures

G. Bellettini, Remarks on an evolution equation of a nonconvex functional;
A. Braides, Multi-scale analysis of a prototypical model for the interaction between oscillations and
phase transitions;
G. Dal Maso, Rate independent evolution problems with nonconvex energies;
A. De Masi, Two scale hydrodynamic limit for a model of malignant tumor cells;
A. De Simone, Phase transformations in nematic elastomers;
N. Dirr, Mesoscopic models for interface energy in the presence of oscillating fields;
G. Francfort, Quasi-static evolution and rate independence;
E. Logak, Front propagation in the Fisher equation with degenerate diffusion
A. Mielke, Evolution of microstructures in shape-memory alloys;
R. Monneau, Modelling of dislocation dynamics and link with anisotropic mean curvature motion;
V. Orlandi, A random Variational problem related to random field Kac's model;
E. Presutti, A variational approach to tunnelling;
M. Roeger, On a modified conjecture of De Giorgi;
G. Savaré, A variational approach to the evolution flow associated to the simplest class of
polyconvex functionals;
F. Theil, Periodic mimimizers in atomistic systems;
J. Zimmer, Travelling Waves for Nonconvex FPU Lattices;

3.2 Philosophy of Mathematics Today
January 23 - 29, 2006

Organizing Committee: Andrea Cantini (Dipartimento di Filosofia, Università di Firenze),
Ettore Casari (Scuola Normale Superiore, Pisa), Massimo Mugnai (Scuola Normale
Superiore, Pisa)
Participants included:

  Alessandro Andretta (Dipartimento di Matematica, Università di Torino), Alessandro Berarducci
  (Università di Pisa), Umberto Bottazzini (Università di Milano), Carlo Cellucci (Università di Roma),
  Charles Chihara (University of California, Berkeley), Marco Forti (Università di Pisa Dipartimento di
  Matematica), Gabriele Lolli (Università di Torino), Per Martin-Löf (University of Stockholm), Enrico
  Moriconi (Università di Pisa - Dipartimento di Filosofia), Dag Prawitz (Department of Philosophy,
  Stockholm University), Mark Steiner (Hebrew University of Jerusalem), William Tait (University of
  Chicago, Professor Emeritus),, Giovanni Alberti (Dipartimeno di Matematica, Università di Pisa), Tatiana
  Arrigoni (Università di Genova), Filippo Barra (Università di Siena), Francesco Belardinelli (Scuola
  Normale Superiore), Luca Bellotti (Università di Pisa - Dipartimento di Filosofia), Gabriele Bettinazzi
  (Università di Pisa), Marco Borga (Dipartimento di Matematica - Università di Genova), Alexandre
  Borovik (The University of Manchester), Elia Bruni (Università di Siena), Riccardo Bruni (Università di
  Firenze - Dip. di Filosofia), Rebecca Cacioli (Università di Firenze), Giacomo Calamai (Università degli
  Studi di Siena, Dipartimento di Matematica "R. Magari"), Andrea Cantini (Dipartimento di Filosofia,
  Università di Firenze), Lorenzo Carlucci (Università di Siena), Giuliana Cascella (Filosofia Università di
  Pisa), Stefania Centrone (Scuola Normale Superiore), Edoardo Datteri (Dipartimento di Filosofia,
  Università di Pisa), Vincenzo De Risi (Scuola Normale Superiore), Mauro Di Nasso (Dipartimento di
  Matematica, Università di Pisa), Daniel Disegni (Scuola Normale Superiore), Marco Dispensa, Stefano
  Donati (Università di Parma), Antongiulio Fornasiero (Università di Pisa), Camilo Franco de los Ríos
  (Universidad Complutense de Madrid), Paolo Freguglia (Università dell'Aquila, Dipartimento di
  Matematica Pura e Applicata), Marco Galvagni (Scuola Normale Superiore), Stefano Gattei (Università
  degli Studi di Pisa), Gaetano Iaia (Pontificia Università Lateranense – Roma), Francesco Lanzillotti
  (Università di Pisa), Giacomo Lenzi (Università di Pisa), Roberto Mana (Università degli Studi di
  Firenze), Mauro Mariani (Dipartimento di Filosofia – Università di Pisa), Maria da Paz Medeiros (Maria
  de Loudes Medeiros e Espedito Nunes), Pierluigi Minari (Dip.to di Filosofia - Università di Firenze),
  Graziella Morselli (Terza Università di Roma - Dipartimento di Filosofia), Julien Murzi (Università degli
  Studi di Roma "La Sapienza"), Gianluigi Oliveti (Università di Palermo), Andrea Pedeferri (Università
  degli Studi di Milano), Luisa Peruzzi (Università degli Studi di Firenze, Dipartimento di Filosofia),
  Roberta Piredda (Dipartimento di Filosofia), Stefano Salvia (Istituto e Museo di Storia della Scienza di
  Firenze), Andrea Sauchelli (Scuola Normale Superiore), Nicoletta Scapparone (Dipartimento di Filosofia
  Università di Pisa),Riccardo Strobino (Scuola Normale Superiore), Gabriele Tassi (Università di Bologna),
  Laura Tesconi (Dipartimento di Filosofia Università di Pisa), Luca Tranchini (Università di Siena),
  Gabriele Usberti (Università di Siena), Giuseppe Varnier (Università degli Studi di Siena)

Lectures

C. Chihara, Burgess's "Scientific" Argument for the Existence of Mathematical Objects;
G. Lolli, Mathematics as a Human Endeavour;
M. Steiner, Kripke on Logicism, Wittgenstein, and de re Beliefs about Numbers;
M. Forti, An Euclidean Measure of Size for Infinite Collections;
P. Martin-Löf, Logical Necessity;
A. Cantini, Logical Analysis and the Philosophy of Mathematics;
A. Andretta, Teoremi di assolutezza;
W. Tait, Logic and dialectic: the truth of axioms;
E. Moriconi, On Inversion Principle;
C. Cellucci, The Nature of Mathematical Explanation;
D. Prawitz, Proofs in Mathematics as Grounds for Assertions;
3.3 Mathematical aspects of high performance codes: state of the art and open problems
January 30- February 03, 2006

Organizing Committee Fabio Fagnani Politecnico di Torino Franco Flandoli Università di
Pisa Roberto Garello Politecnico di Torino

Participants included:

  Andrea Montanari (Ecole Normale Supérieure), Tom Richardson (Flarion Technologies), Pascal Olivier
  Vontobel (Massachusetts Institute of Technology), Ariel Amir (Institute of Mathematics, University of
  Zurich), Iryna Andriyanova (ENST Paris, France), Giacomo Bacci (Dip. Ingegneria dell'Informazione -
  Università di Pisa), Marco Baldi (Università Politecnica delle Marche), Samuele Bandi (CNIT-Università
  degli Studi di Ferrara), Gilberto Bini (Università degli studi di Milano), Giulia Boato (DIT Università di
  Trento), Gabriele Boccalini (Dip. Ingegneria dell'Informazione - Università di Pisa), Alessandra Budillon
  (Università di Napoli Parthenope), Angela Sara Cacciapuoti (Università degli Studi di Napoli Federico
  II), Gian Paolo Calzolai (European Space Agency – ESOC), Ottavio Campana (Università di Padova),
  Lorenzo Cappellari (Dept. of Information Engineering - University of Padova), Michele Carta Università
  di Pisa, Dipartimento di Ingegneria dell'informazione), Pasquale Castaldi (Politecnico di Torino),
  Giacomo Como (Politecnico di Torino). Giovanni Cozzo (Università di Cassino), Donatella Darsena
  (Università degli Studi di Napoli), Andrea De Giusti (Università di Padova), Rodrigo de Miguel (Institute
  for Electronics and Telecomunications, Norwegian University of Science and Technology), Andac
  Doenmez (University of Erlangen-Nuremberg Telecommunications Depertment), Nevio Dubbini
  (Dipartimento di matematica Ulisse Dini, Università di Pisa), Xavier Enrich Sard (Callisto Space), Mattia
  Fedrigo (GSF-IBB München), Giampaolo Ferraioli (Università di Napoli), Davide Fichera (Università
  degli studi di Milano), Claudio Montanari (Politecnico di Torino), Sophie Fosson (Scuola Normale di
  Pisa), Federica Garin (Politecnico di Torino - Dipartimento di Matematica), Attilio Gesmundo (ESA –
  ESOC), Michele Gianfelice (Dipartimento di Matematica - Politecnico di Torino), Anders Gjendemsjø
  (Norwegian University of Science and Technology), Massimiliano Gubinelli (Dip. di Matematica
  Applicata "U. Dini" - Univ. di Pisa), Yugang Jia (University of Bristol), Farbod Kayhan (Politecnico di
  Torino), Maria Rita Lungo (Università di Firenze), Laura Luzzi (Scuola Normale Superiore), Marilena
  Maiolo (Dip Ingegneria dell'Informazione - Università di Pisa), Felice Manganello (Mathematical
  Department - University of Zurich), Garik Markarian (The Univeristy of Leeds, UK), Francesco Mazzocca
  (Dipartimento di Matematica - Seconda Università di Napoli), Federica Meglio (Università degli Studi di
  Cassino), Francesco Mininni (Politecnico di Torino – DELEN), Guido Montorsi (Politecnico di Torino),
  Marco Moretti (Dipartimento Ingegneria dell'Informazione), Emmanuela Orsini (Università di Milano),
  Lucia Panizzi (Scuola Normale Superiore), Giuseppe Passino (Università degli Studi di Cagliari), Laurent
  Paumier (STMICROELECTRONICS), Valentina Pepe (Università degli Studi di Napoli Federico II),
  Alberto Perotti (Politecnico di Torino), Walter Rocchia (Scuola Normale di Pisa), Massimo Rovini
  (Università di Pisa), Luca Sanguinetti (Università di Pisa), Lingyang Song (University of York, UK),
  Ahmet Serdar Tan (Bilkent University, Turkey), Lorenzo Taponecco (Università di Pisa, Dipartimento di
  Ingegneria dell'informazione), Alberto Tarable (Politecnico di Torino), Alessandro Tomasoni (Politecnico
  di Milano), Marialaura Torrente (Scuola Normale Superiore), Stefano Valle (STMICROELECTRONICS),
  Irene Venturi (Università di Genova), Cheran Vithanage (University of Bristol), Gil Wiechman (Technion
  - Israel Institute of Technology), Francesca Zanier (Dip Ing dell'Informazione - Università di Pisa), Pamela
  Zontone (Università di Udine)

Lectures

A. Montanari, Large random systems: from coding to optimization and statistical mechanics;
T. Richardson, Low density and turbo codes: structure and iterative decoding;
P. O. Vontobel, Codes over graphs and decoding algorithms;
3.4 Recenti sviluppi della geometria complessa, differenziale, simplettica
March 9-11, 2006-

Organizing Committee: Paolo De Bartolomeis Università di Firenze, Giuseppe Tomassini
Scuola Normale Superiore

Participants included:

  Claudio Arezzo (Università di Parma), Michael Baechtold (Università di Salerno), Fiammetta Battaglia
  (Università di Firenze), Lucio Bedulli (Università di Bologna), Leonardo Biliotti (Università di Ancona),
  Nicola Ciccoli (Dipartimento di Matematica e Informatica, Università di Perugina), Diego Conti
  (Università di Milano – Bicocca), Christian Di Pietro (Università degli Studi di Salerno), Anna Fino
  (Dipartimento di Matematica, Università di Torino), Alessandro Callisto Ghigi (Università di Milano
  Bicocca), Andrea Loi (Università di Cagliari), Francine Meylan (Université de Fribourg), Luca Migliorini
  Università di Bologna), Giovanni Moreno (Università di Napoli "Federico II"), Antonella Nannicini
  (Università di Firenze), Roberto Paoletti (Università di Milano Bicocca), Paolo Piccione (Universidade de
  Sao Paulo, Brazil), Rossella Piscopo (Università degli studi di Napoli "Federico II"), Simon Salamoi
  (Politecnico di Torino), Adriano Tomassini (Dipartimento di Matematica Università di Parma), Gabriele
  Vezzosi (Università di Firenze), Alexandre Vinogradov (Università di Salerno), Luca Vitagliano
  (Università degli Studi di Salerno), Chiara de Fabritiis (Dip.to di Scienze Matematiche-Università
  Politecnica delle Marche), Alberto Della Vedova (Università degli studi di Parma), Alessia Mandini
  (Università di Bologna), Costantino Medori (Dipartimento di Matematica - Università di Parma),
  Gueorgui Mihaylov (Università degli studi di Milano), Paolo Piccinni (Università di Roma La Sapienza)

Lectures
L. Migliorini, A cosa serve la coomologia di intersezione;
G. Vezzosi, Derived algebraic geometry and the geometric Langlands program;
A. Ghigi, Metriche di Kaehler-Einstein orbifold su rivestimenti di Galois;
L. Bedulli, Homogeneous Lagrangian submanifolds;
C. Arezzo, Metriche canoniche su scoppiamenti;
A. Tomassini, Strutture Speciali su Varietà Simplettiche;
A. Nannicini, Strutture complesse generalizzate pseudocalibrate;
N. Ciccoli, Geometria di Poisson di theta-varietù sferiche
F. Battaglia, Compactification of complex quasitori and nonrational convex polytopes;
A. Vinogradov, Introduzione al Calcolo Secondario;
L. Biliotti, Polar Actions on Ccmpact Rank One Symmetric Spaces Are Taut;
R. Paoletti, Mappe momento e volumi equivarianti;
A. Fino, Hyperkaehler quotients of solvable Lie groups;
A. Loi, Symplectic coordinates on symmetric domains and their compact dual;
D. Conti, Stable forms and Killing spinors;
P. Piccione, On the single-leaf Frobenius theorem and its applications;
F. Meylan, Degree of a holomorphic map between unit balls from $\Bbb C2$ to $\Bbb C^n.$;
C. Medori, Alcuni risultati sulle orbite minime in varietà a bandiera;
L. Vitagliano, Iterated Differential Forms and Tensors;
S. Salomon, Orthogonal Complex Structures;
C. Di Pietro, Spectral Sequence Associated with a Symplectic Manifold;
R. Piscopo, Killing algebra with 3-dimensional orbits;
G. Moreno, The Bianchi Variety;
M. Baechtold, Ricci flat metrics with 2-dim Null Orbits;

3.5 Four mini courses on fine properties of solutions of Partial Differential Equations
(in memory of Filippo Chiarenza and Gene Fabes)
September 11 – 15, 2006

Organizing Committee: Bruno Franchi Università di Bologna Michele Frasca Università di
Catania Sandro Salsa Politecnico di Milano Raul Serapioni Università di Trento

Participants included:

  Yasser Abd el maboud (Al-Azhar University), Giovanni Alberti (Dipartimento di Matematica, Università
  di Pisa), Gabriella Arena (Dipartimento di Matematica – Trento), Annalisa Baldi (Università di Bologna),
  Francesco Borrello (Dipartimento di Matematica e Informatica, Università di Catania), Filippo D.
  Cammaroto (Dipartimento di Matematica, Università di Messina), Andrea Orazio Caruso (Dipartimento
  di Matematica e Informatica, UNICT), Paola Cavaliere (Università di Salerno, Facoltà di Scienze), Simone
  Cecchini (Università degli Studi di Firenze - Dip. Matematica 'Ulisse Dini'), M. Cristina Cerutti
  (Politecnico di Milano), Eleonora Cinti, Giulio Circolo (Università di Firenze), Fausto Ferrari (Università
  di Bologna), Alice Fiaschi (SISSA), Alessio Figalli (Scuola Normale Superiore), Simona Fornaio
  (Università di Lecce), Francesco Ghiraldin (Scuola Normale Superiore), Tiziano Granucci (Università di
  Firenze), Cristina Imperato (Dipartimento di Matematica, Università di Bologna), Valentino Magnani
  (Università di Pisa), Luca Martinazzi (ETH Zürich), Giorgio Metafune (Dipartimento di Matematica-
  Lecce), Fabio Nicola (Dipartimento di Matematica, Politecnico di Torino), Anna Piro Grimaldi (Università
  di Cagliari), Guillermo Gonzalo Quelali (Dipartimento di Matematica - Università degli Studi di Torino),
  Maria Alessandra Ragusa (Università di Catania), Filippo Santambrogio (Scuola Normale Superiore),
  Giuseppe Savare' (Dipartimento di Matematica, Università di Pavia), Reiner Schaetzle (Universitaet
  Tuebingen), Chiara Spina (Università di Lecce), Atsushi Tachikawa (Tokyo University of Science), Maria
  Carla Tesi (Università di Bologna), Davide Vittone (Scuola Normale Superiore – Pisa), Peter Weidemaier
  (Fraunhofer Institute for High Speed Dynamics)


Lectures:

L. Caffarelli, Nonlinear variational problems for fractional derivatives;
D. Jerison, Differential inequalities related to Ricci flow;
C. Kenig, Four lectures on dispersive equations;
N. Krylov, Parabolic and elliptic equations with VMO coefficients;

3.6 Microlocal Analysis and Applications to PDEs
November 20-21, 2006

Organizing Committee: Ferruccio Colombini (Università di Pisa), Gianluca Crippa (Scuola
Normale Superiore. Pisa

Participants included:

  Luigi Ambrosio (Scuola Normale Superiore), Piero D'Ancona (Università di Roma "La Sapienza"), Nils
  Dencker (Lund University), Isabelle Gallagher (Ecole Polytechnique), Herbert Koch (Universitaet Bonn),
   Gilles Lebeau (Université de Nice Sophia-Antipolis), Alberto Parmeggiani (Università di Bologna),
   Ludovico Pernazza (Università di Pavia), Andriy Rekalo (Université Paris Sud), Giovanni Alberti
   (Università di Pisa), Antonio Bove (Università di Bologna), Marco Cappiello (Dipartimento di Matematica
   - Università degli Studi di Ferrara), Laura Caravenna (SISSA-ISAS), Ferruccio Colombini (Università di
   Pisa), Gianluca Crippa (Scuola Normale Superiore di Pisa), Daniele Del Santo (Università di Trieste,
   Dipartimento di Matematica e Informatica), M.K.Venkatesha Murthy (Università di Pisa - Dipartimento
   di Matematica), Davide Vittone (Scuola Normale Superiore – Pisa)


Lectures:

G. Lebeau, Dispersion for waves in a convex domain;
L. Ambrosio, Some remarks on ODE uniqueness versus PDE uniqueness;
N. Dencker, Solvability and subellipticity for systems of operators;
L. Pernazza, Sufficient conditions for local solvability of some operators not of principal type;
I. Gallagher, Mathematical analysis of geophysical flows at the equator;
A. Parmeggiani, On the Fefferman-Phong inequality for systems;
H. Koch, Strong unique continuation for parabolic operators;

3.7 Recent Advances on the Perona-Malik Equation
December 15 – 16, 2006

Organizing Committee: Giovanni Bellettini (Università di Roma Tor Vergata), Matteo
Novaga (Università di Pisa)

Participants included:

   Giovanni Bollettini (Università di Roma Tor Vergata), Giorgio Fusco (Università de L'Aquila), Marina
   Ghisi (Università di Pisa), Massimo Gobbino (Università di Pisa - Facoltà di Ingegneria), Nicola Guglielmi
   (Università di L'Aquila), Matteo Novaga (Università di Pisa), Lorenzo Bertini (Università di Roma “La
   Sapienza), Gianluca Crippa (Scuola Normale Superiore di Pisa), Mauro Mariani (Università di Roma “La
   Sapienza)


Lectures:

M. Gobbino, Perona-Malik: risultati e problemi aperti;
M. Ghisi, Soluzioni classiche per l'equazione di Perona-Malik;
G. Bellettini, Convergence of discrete schemes for the Perona-Malik equation;
G. Fusco, A variational model for wrinkles formation;



3.8 Geometric Evolutions and Applications
December 18 – 19, 2006

Organizing Committee: Giovanni Bellettini (Università di Roma Tor Vergata), Matteo
Novaga (Università di Pisa)
Participants included:

  Giovanni Bollettini (Università di Roma Tor Vergata), Mauro Canfora (Dipartimento di Fisica Nucleare e
  Teorica, Univ. degli Studi di Pavia), Gabriele La Nave (Yeshiva University), Andrea Malchiodi (SISSA,
  Trieste), Carlo Mantegazza (Scuola Normale Superiore), Roberta Alessandrini (Università di Roma Tor
  Vergata), Annibale Magni (SISSA), Matteo Novaga (Università di Pisa), Dario Saccavino (Scuola Normale
  Superiore), Davide Vittone (Scuola Normale Superiore – Pisa)



Lectures:

M. Carfora, Applications of the Hamilton-Perelman flow in theoretical Physics;
C. Mantegazza, Remarks on Ricci Flow;
G. Bellettini, Singular perturbations of mean curvature flow;
G. La Nave, Reduced Sobolev inequality along the Ricci flow;
A. Malchiodi, Concentration phenomena for some singularly perturbed PDEs;

4 Schools

4.1 School on Neuromathematics of Vision
Partially supported by GNAMPA
September 04 - 09 September 2006

Organinzing committee: Giovanna Citti (Università di Bologna), Jean-Michel Morel (Ecole
Normale Supérieure de Cachan), Jean Petitot (CREA, Ecole Polytechnique, )Alessandro
Sarti (Università di Bologna), James A. Sethian (University of California, Berkeley),
Giuseppe Tomassini (Scuola Normale Superiore. Pisa,) Steven W. Zucker (Yale University)

Invited speakers

  Andrés Almansa (CMLA - Ecole Normale Supérieure de Cachan), Alessandra Angelucci (University of
  Utah), Marcelo Bertalmío (Universitat Pompeu Fabra), Paul Bressloff (University of Utah), Jack Cowan
  (University of Chicago), Yves Fregnac (UNIC-CNRS Dept of Integrative and Computational
  Neuroscience), Claudio Galletti (Università di Bologna), Pekka Koskela (University of Jyvaskyla,
  Department of Mathematics and Statistics), Jean Lorenceau (LENA CNRS), Jean-Michel Morel (Ecole
  Normale Supérieure de Cachan), Scott Pauls (Dartmouth College, Department of Mathematics), Jean
  Petitot (CREA, Ecole Polytechnique), Hans Martin Reimann (University of Berne), Walter Schempp
  (Lehrstuhl fuer Mathematik I, Universitaet Siegen), Francesco Serra Cassano (Dipartimento di
  Matematica- Università di Trento), Sergey Vodopyanov (Sobolev Institute of Mathematics), Steven W.
  Zucker (Yale University)

List of participants

  Nicola Arcozzi (Università di Bologna), Gabriella Arena (Università di Trento), Davide Barbieri
  (Università di Bologna), Piernicola Bettiol (SISSA, Trieste), Francesco Bigolin (Università degli studi di
  Trento), Francesco Borrello (Università di Catania), Marco Bramanti (Politecnico di Milano), Luca
  Brandolini (Università degli Studi di Bergamo), Juan Cardellino (Universidad de la Republica,
  Montevideo Uruguay), Maria Francesca Canfora (Istituto per le Applicazioni del Calcolo CNR), Andrea
  Orazio Caruso (Dipartimento di Matematica e Informatica – UNICT), Mauricio Correa Perez
  (Universidad de Chile), Cristiano Cuppini (DEIS, Università di Bologna), Alessandro Duci, Gabriele
  Facciolo (Universitat Pompeu Fabra), Emmanuel Faure (CREA - CNRS – Polytechnique), Fausto Ferrari
  (Università di Bologna), Francesco Galofaro (Dipartimento Discipline della Comunicazione), Francesca
  Gatti (Università di Pisa), Riccardo Ghepardi (Università di Verona), Rafael Grompone (ENS Cachan,
  France), Ilkka Holopainen (University of Helsinki), Daria Isangulova (Sobolev Institute of Mathemaitics
  SB RAS), Guido Hugo Jajamovich, Jérémie Jakubowicz (CMLA, Cachan), Maria Karmanova (Novosibirsk
  State University), Irène Kopysova (UNIC, CNRS), Artem Kozhevnikov, Benoit Lombardot (CREA CNRS),
  Placido Longo (Dipartimento di Matematica Applicata – Pisa), Miguel Luengo Oroz (Universidad
  Politécnica de Madrid), Valentino Magnani (Dipartimento di Matematica, Università di Pisa), Maria
  Manfredini (Università di Bologna), Ely Maranhao, Enric Meinhardt (Universitat Pompeu Fabra,
  Barcelona), Marta Mejail (Universidad de Buenos Aires), Camilo Melani, Igor Moiseev (SISSA, Tieste),
  Sara Montagna (Università di Bologna), Federico Montanari (Dipartimento Discipline della
  Comunicazione, Università di Bologna), Luigi Monitoro, Davide Moroni (ISTI-CNR), Domenico Mucci
  (Università di Parma), Brynjulf Owren (The Norwegian University of Science and Technology),
  Michelangelo Paci (Università di Bologna), Rodrigo Palma (Universidad de Chile), Matilde Pasqua
  (Dipartimento di Scienze Matematiche - Università Politecnica delle Marche), Mircea Petrache (Scuola
  Normale Superiore, Pisa), Gregory Randall (Universidad de la República, Uruguay), Germano Resconi
  (Università Cattolica di Brescia), Barbara Rizzi (DEIS, Bologna), Javier Ruiz-del-Solar (Universidad de
  Chile), Gonzalo Sanguinetti, Andrey Sarychev (Universita di Firenze), Giovanni Sebastiani (Istituto per le
  Applicazioni del Calcolo Mauro Picone), Emanuele Lindo Secco (DEIS, Bologna), Nataliya Shcherbakova
  (Università di Trento), Nicola Teleman (Università Politecnica delle Marche), Rodrigo Verschae
  (Universidad de Chile), Cecilia Zanella (Università di Bologna), Silvia Zuffi (ITC-CNR)

The following lectures were presented:

Y. Frégnac, Read-out of visual perception from synaptic rumours;
J. Lorenceau, Fast visual motion and cortical dynamics;
C. Galletti, The visual area V6 in the macaque and human brains;
J. Petitot, Contact structures and coherent states in neurogeometry;
S. W. Zucker, Color, Connections, and Stereo: from Frenet to Cartan;
P. Bressloff, The Role of Feedback in Shaping The Extra-Classical Receptive Field of Cortical
Neurons: A Recurrent Network Model;
A. Angelucci, TBA;
J. Cowan, Statistical Mechanics of the Neocortex;
H. M. Reimann, Uncertainty in hearing;
P. Koskela, Metric definition of quasiconformality;
W. Schempp, Mathematical Methods of Brain Sciences;
S. Pauls, Geometric Mathematical Models of the primary visual cortex;
F. Serra Cassano, The Bernstein problem for intrinsic graphs in the Heisenberg group;
S. Vodopyanov, Differentiability of Mappings of Carnot Manifolds;
J.-M. Morel, A review of computational gestalt;
M. Bertalmío, Perceptual Color Correction Through Variational Techniques;
A. Almansa, Low baseline stereo, sampling and a contrario models;
K. Mueller, Spectral and wavelet analysis in functional imaging;
S. Zuffi, Modelling Color Perception;
G. Sebastiani, Functional minimization for quantifying human brain connectivity from DT-MRI;
Short communications
C. Melani, Tracking of biological cells from confocal images;
G. Sanguinetti, A geometrical model for the functional arquitecture of the primary visual cortex;
B. Rizzi, 3D images of zebrafish embryo: PDEs based filtering and segmentation;
J. Jakubowicz, Multisegment Detection;
R. Grompone, Meaningful k-gons;
J. Cardelino, Region based segmentation using the tree of shapes;
E. Meinhardt, Edge Detection in 3D;
G. Facciolo, Constrained Diffusion and Some Applications: Low Baseline Stereo and Video
Segmentation;
R. Verschae, Face Detection using boosted nested cascades;

5 Visitors

The visiting program (junior, senior and research in pairs programs) was intensified in
2006. More than 41 applied for the one-year junior visiting position and more than 24 for
the research in pair program.

5.1 Junior Visitors

Riccardo Adami, (Centro di Ricerca Matematica Ennio De Giorgi), Lizzanello Visitor
Gianluigi Del Magno, (University of Lisbon), Lizzanello Visitor
Sven Winklmann, (Universität Duisburg-Essen), von Humboldt-CRM Pisa Visitor
Myrto Sauvageot, (Laboratoire Jacques Louis Lions, Université Pierre et Marie Curie,
Paris), CRM Pisa
Liana Rodica David, (Institute of Mathematics of the Romanian Academy), CariLucca -
SNS Visiting Position
Yong Zhou, (East China Normal University), CRM Pisa
Mark Demers, (Georgia Institute of Technology), CRM Pisa
Gautier Berck, (Université de Fribourg), CRM Pisa
Tal Poznansky, (Yale University), CRM Pisa
Piergiulio Tempesta, (Scuola Internazionale Superiore di Studi Avanzati – Trieste),
Lizzanello Visitor

5.2 Senior Visitors

Akira Fujiki, (Osaka University)
Massimiliano Pontecorvo, (Università di Roma 3)
Elena Prestini, (Università di Roma Tor Vergata)
Michael Lacey, (Georgia Institute of Technology)
Fran Burstall, (University of Bath)
Igor Konnov, (Kazan University)
David Calderbank, (University of Edinburgh)
Lesley Sibner, (Polytechnic University)
Robert Sibner, (CUNY, Graduate Center and Brooklyn College)
Erol Gelenbe, (Imperial College London)
Lai-Sang Young, (New York University)
Elias Stein, (Princeton University)
Loredana Lanzani, (University of Arkansas)
Luca Capogna, (Princeton University)
Giovanna Citti , (Università di Bologna)
Joan Verdera (Universitat Autònoma de Barcelona)
Atanas Stefanov, (University of Kansas)
Fabio Martinelli, (Università di Roma 3), Pieri Visitor
Ian Alexander Becket Strachan, (Glasgow University)
Lucien Szpiro, (Graduate Center-CUNY)
Thomas Tucker, (University of Rochester)
Ken'ichi Takahashi, (The Graduate School of Social and Cultural Studies, Kyushu
University)
Xiaoping Yang, (Nanjing University of Science and Technology)
Michael Struwe (Swiss Federal Institute of Technology), Pieri Visitor
Luca Migliorini, (Università di Bologna)



6 Public Lectures: Matematica, Cultura e Società

The effort of the Center in favour of the diffusion of the mathematical culture continued in
2006.
The following lectures, coordinated by Ilaria Gabbani and Pietro Mayer, were presented:

  • Ennio Peres (espertodi giochi matematici e linguistici), Giochi di magia matematica –
  Trucchi, formule e sortilegi per divertirsi coi numeri;
  • Maria Luisa Brandi (Università di Firenze), La Risposta Estrogenica: un Modello di
  Complessità Biologica Utile;
  • Jean Brette (Palais de la Découverte), Le Monde et la géometrie;
  • Carla Farsi (University of Colorado at Boulder), Arte e Matematica Contemporanea al
  di là dell'Atlantico;
  • Susanna Terracini (Università di Milano Bicocca), Matematica e Liberazione;
  • Carlo Bernardini (Università di Roma "La Sapienza"), Similitudine, dalla geometria alla
  fisica;
  • Maria Chiara Carrozza (Scuola Superiore Sant'Anna), Protesi di mano cibernetiche:
  implicazioni scientifiche, ingegneristiche ed etiche;
  • Gino Fornaciari (Università di Pisa), Il "Progetto Medici": studio antropologico e
  paleopatologico dei Granduchi;
  • Piero D'Ancona (Università di Roma "La Sapienza"), Il ragionevole dubbio;



7 Research Groups

During 2006 the following research nuclei were active at the Center.
Holomorphic Dynamical Systems and Arithmetic

Marco Abate               (Università di Pisa)
Filippo Bracci            (Università di Roma “Tor Vergata”)
Carlo Carminati           (Università di Pisa)
Stefano Marmi             (Scuola Normale Superiore, Pisa)
Francesca Tovena          (Università di Roma “Tor Vergata”)

Evolution of Interfaces

Giovanni Bellettini       (Università di Roma Tor Vergata)
Vicent Caselles           (University Pompeu-Fabra, Barcelona)
Matteo Novaga             (Università di Pisa)

Probability in Information Science

Fabio Fagnani             (Politecnico di Torino)
Franco Flandoli           (Università di Pisa)
Marco Isopi               (Università di Bari e New York University)

Quantum Information

Rosario Fazio             (Scuola Normale Superiore, Pisa)
Vittorio Giovannetti      (Scuola Normale Superiore, Pisa))
Simone Montangero         (Scuola Normale Superiore, Pisa)

Harmonic analysis on Lie groups

Detlef Müller             (Christian-Albrechts-Universität, Kiel)
Alexander Nagel           (University of Wisconsin, Madison)
Marco M. Peloso           (Politecnico di Torino)
Fulvio Ricci              (Scuola Normale Superiore, Pisa)
Elias M. Stein            (Princeton University)
Steven Wainger            (University of Wisconsin, Madison)

Phase Space Analysis of Partial Differential Equations

Jean-Michel Bony          (Ecole Polytechnique, Paris)
Jean-Yves Chemin          (Université de Paris VI)
Ferruccio Colombini       (Università di Pisa)
Herbert Koch              (Universität Dortmund)
Gilles Lebeau             (Université de Nice Sophia-Antipolis)
Guy Métivier              (Université de Bordeaux I)
Ludovico Pernazza      (Università di Pavia)
Enrique Zuazua         (Universidad Autónoma de Madrid)



8 Pubblications

CRM Series

Dynamical Systems Part I: Hamiltonian Systems and Celestial Mechanics, 217 pp.,
Proceedings 2002 (2003)

Dynamical Systems Part II: Topological, Geometrical and Ergodic Properties of Dynamics,
237 pp., Proceedings 2002 (2003)

Matematica, Cultura e Società 2003, 61 pp., Public Lectures 2003

Krylov K. Probabilistic Methods of Investigating Interior Smoothness of Harmonic
Functions Associated with Degenerate Elliptic Operators, 105 pp., 2004

Ricordando Franco Conti, 354 pp., 2004

Phase Space Analysis of Partial Differential Equations Volume 1, 269 pp., Proceedings
2004

Phase Space Analysis of Partial Differential Equations Volume 2, 253 pp., Proceedings
2004

Matematica, Cultura e Società 2004, 155 pp., Public Lectures 2004

Giaquinta M., Mucci D. Maps into manifolds and currents: area W1,2, W1,2, BV-energies,
391 pp., 2006

Matematica, Cultura e Società 2005, 123 pp., Public Lectures 2005

Scientific Papers

Leonardo Colzani, Cristopher Meaney and Elena Prestini, Almost everywhere convergence of
inverse Fourier transforms

Mariano Giaquinta and Domenico Mucci, Graphs of W1,1-maps with values into S1: relaxed
energies, minimal connections and lifting

Sven Winklmann, Curvature estimates for graphs with prescribed mean curvature and flat
normal bundle
Gianluigi Del Magno and Roberto Markarian, On the Bernoulli property of planar hyperbolic
billiards

Marta Sanz-Solé & Ivàn Torrecilla-Tarantino, Probability density for a hyperbolic SPDE with
time dependent coefficients

Liana David, Quaternionic connections induced holomorphic structures and a vanishing theorem

Joao Lopes Dias, Brjuno Condition and Renormalization for Poincaré flows

R. De La Bretèche, T. D. Browning, and U. Derentha, On Manin's Conjecture For A Certain
Singular Cubic Surface

Maria Alessandra Ragusa, Atsushi Tachikawa, Partial regularity of the minimizers of
quadratic functionals with VMO coefficients

Heiko von der Mosel, Sven Winklmann, On weakly harmonic maps from Finsler to
Riemannian manifolds
9 List of visitors

   Luigi Accardi               Hakima Bessaih
   Riccardo Adami              Piernicola Bettiol
   Giovanni Alberti            Alessandra Bianchi
   Sergio Albeverio            Stefano Bianchini
   Roberta Alessandroni        Francesco Bigolin
   Luigi Ambrosio              Leonardo Biliotti
   Maria Emilia Amendola       Gilberto Bini
   Ariel Amir                  Fabrice Blache
   Alessandro Andretta         Xavier Blanc
   Iryna Andriyanova           Dirk Blömker
   Alberto Francesco Anfossi   Giulia Boato
   Alessandra Angelucci        Gabriele Boccolini
   Alessio Ansuini             Erwin Bolthausen
   Giorgio Antonangeli         Stefano Bonaccorsi
   Vestislav Apostolov         Marco Borga
   Nicola Arcozzi              Alexandre Borovik
   Gabriella Arena             Francesco Borrello
   Claudio Arezzo              Umberto Bottazzini
   Alberto Giorgio Arosio      Guy Bouchitté
   Tatiana Arrigoni            Antonio Bove
   Jean-Francois Babadjian     Andrea Braides
   Giacomo Bacci               Marco Bramanti
   Annalisa Baldi              Alessio Brancolini
   Marco Baldi                 Maria Luisa Brandi
   Samuele Bandi               Luca Brandolini
   Davide Barbieri             Simon Brendle
   Viorel Barbu                Yann Brenier
   Marco Barchiesi             Paul Bressloff
   Filippo Barra               Jean Brette
   Giada Basile                Vasile Brinzanescu
   Arnaud Basson               Elia Bruni
   Fiammetta Battaglia         Riccardo Bruni
   Lucio Bedulli               Zdzislaw Brzezniak
   Giovanni Bellettini         Pavel Bubak
   Luca Bellotti               Rainer Buckdahn
   Alessandro Berarducci       Alessandra Budillon
   Gautier Berck               Daniel Burgarth
   Patrick Bernard             Fran Burstall
   Cedric Bernardin            Giuseppe Buttazzo
   Carlo Bernardini            Esther Cabezas-Rivas
   Marcelo Bertalmío           Angela Sara Cacciapuoti
   Lorenzo Bertini             Luis Caffarelli
Giacomo Calamai           Giacomo Como
David Calderbank          Fulvia Confortola
Gian Paolo Calzolari      Florian Conrad
Filippo D. Cammaroto      Sergio Conti
Ottavio Campana           Daniel Conus
Andrea Cantini            Mauricio Correa Perez
Luca Capogna              Jack Cowan
Daniela Cappelletti       Hans Crauel
Marco Cappiello           Gianluca Crippa
Tomás Caraballo           Andrea Cristofaro
Francesco Caravenna       Ana Bela Cruzeiro
Laura Caravenna           Giovanni Cuozzo
Juan Cardelino            Cristiano Cuppini
Maria Francesca Carfora   Piero D'Ancona
Mauro Carfora             Giuliana D'Ercole
Guillame Carlier          Mihailis DaFermos
Lorenzo Carlucci          Gianni Dal Maso
Maria Chiara Carrozza     Robert Dalang
Michele Carta             Mohammad Reza Daliri
Michael Caruana           Donatella Darsena
Andrea Orazio Caruso      Edoardo Datteri
Ettore Casari             Liana Rodica David
Giuliana Cascella         Paolo De Bartolomeis
Carlo Massimo Casciola    Anne de Bouard
Pasquale Cataldi          Virginia De Cicco
Giovanni Catino           Andrea De Giusti
Paola Cavaliere           Camillo De Lellis
Simone Cecchini           Anna De Masi
Carlo Cellucci            Luigi De Pascale
Stefania Centrone         Vincenzo De Risi
Sandra Cerrai             Antonio De Simone
M. Cristina Cerutti       Arnaud Debussche
Pierluigi Cesana          Gianluigi Del Magno
Antonin Chambolle         Gianpietro Del Piero
Thierry Champion          Daniele Del Santo
Sun-Yung (Alice) Chang    Alberto Della Vedova
Valeria Chiado' Piat      Mark Demers
Charles Chihara           Alexey Demyanov
Nicola Ciccoli            Nils Dencker
Eleonora Cinti            Jean-Dominique Deuschel
Giulio Ciraolo            Ernest Di Maio
Giovanna Citti            Christian Di Pietro
Philippe Clement          Nicolas Dirr
Ferruccio Colombini       Daniel Disegni
Zindine Djadli           Giorgio Fusco
Andac Doenmez            Carlo Gabbani
Marco Dozzi              Davide Gabrielli
Olivier Druet            Isabelle Gallagher
Jinqiao Duan             Claudio Galletti
Alessandro Duci          Francesco Galofaro
Klaus Ecker              Marco Galvagni
Yalchin Efendiev         Alberto Gandolfi
Michael Eichmair         Wilfrid Gangbo
Kenneth David Elworthy   Roberto Garello
Etienne Emmrich          Adriana Garroni
Fabio Fagnani            Stefano Gattei
Shizan Fang              Francesca Gatti
Carla Farsi              Paul Gauduchon
Antonio Fasano           Eric Gautier
Albert Fathi             Erol Gelenbe
Emmanuel Faure           Maria Stella Gelli
Mattia Fedrigo           Riccardo Gherardi
Giampaolo Ferraioli      Alessandro Callisto Ghigi
Fausto Ferrari           Francesco Ghiraldin
Benedetta Ferrario       Aldo Ghisi
Alice Fiaschi            Marina Ghisi
Davide Fichera           Michele Gianfelice
Maria Cristina Fichera   Mariano Giaquinta
Alessio Figalli          Anders Gjendemsjø
Anna Fino                Antoine Gloria
Franco Flandoli          Matteo Gloyer
Irene Fonseca            Massimo Gobbino
Claudio Fontanari        Beniamin Goldys
Gino Fornaciari          Maria Gordina
Simona Fornaro           Ludovic Goudenège
Marco Forti              Fausto Gozzi
Sophie Fosson            Tiziano Granucci
Ilaria Fragalà           Martin Grothaus
Gilles Francfort         Giuseppina Guatteri
Bruno Franchi            Massimiliano Gubinelli
Michele Frasca           Roberto Guenzani
Yves Fregnac             Francesco Guerra
Paolo Freguglia          Nicola Guglielmi
Mark Freidlin            Archil Gulisashvili
Gero Friesecke           Matthew Gursky
Marco Fuhrman            Markus Haase
Akira Fujiki             Martin Hairer
Tadahisa Funaki          Erika Hausenblas
Emmanuel Hebey          Remi Leandre
Ilkka Holopainen        Gilles Lebeau
Kazuhiro Horihata       Seung Lee
Gerhard Huisken         Giacomo Lenzi
Ryan Hynd               Xue-Mei Li
Gaetano Iaia            Chang-Shou Lin
Peter Imkeller          Hannelore Inge Lisei
Cristina Imperato       Stefano Lisini
Daria Isangulova        Elisabeth Logak
Marco Isopi             Andrea Loi
Guido Hugo Jajamovich   Gabriele Lolli
Jérémie Jakubowicz      Benoit Lombardot
Richard D. James        Placido Longo
Milton Jara             Jean Lorenceau
David Jerison           Stephan Luckhaus
Meiyue Jiang            Miguel Luengo Oroz
Chloé Jimenez           Maria Rita Lungo
Giovanni Jona-Lasinio   Laura Luzzi
Mattias Jonsson         Lamberto Maffei
Maria Karmanova         Valentino Magnani
Farbod Kayhan           Annibale Magni
Carlos Kenig            Marilena Maiolo
Hwakil Kim              Andrea Malchiodi
Nicola Kistler          Paul Malliavin
Peter Kloeden           Roberto Mana
Herbert Koch            Alessia Mandini
Yuri Kondratiev         Maria Manfredini
Igor Konnov             Felice Manganiello
Irène Kopysova          Carlo Mantegazza
Pekka Koskela           Ely Maranhao
Peter Kotelenez         Iuliana Marchis
Artem Kozhevnikov       Mauro Mariani
Nicolai Krylov          Mauro Mariani
Sergei B. Kuksin        Carlo Mariconda
Tobias Kuna             Carlo Marinelli
Oleksandr Kutovyy       Gabriela Marinoschi
Ernst Kuwert            Garik Markarian
Gabriele La Nave        Per Martin-Löf
Michael Lacey           Luca Martinazzi
Claudio Landim          Fabio Martinelli
José Antonio Langa      Sandra Rita Martinez
Loredana Lanzani        Bohdan Maslowski
Claude Le Bris          Simon Masnou
Yves Le Jan             Jonathan C Mattingly
Jerry Mayers            Cheikh Birahim Ndiaye
Francesco Mazzocca      Vahagn Nersesyan
Robert J. McCann        Fabio Nicola
Maria da Paz Medeiros   Laurent Nocquet-Jeol
Costantino Medori       Matteo Novaga
Federica Meglio         Cyril Odasso
Enric Meinhardt         Gianluigi Oliveri
Marta Mejail            Stefano Olla
Camilo Melani           Vincenza Orlandi
Jose Luis Menaldi       Michael Ortiz
Frank Merle             Felix Otto
Giorgio Metafune        Brynjulf Owren
Francine Meylan         Michelangelo Paci
Alexander Mielke        Giampiero Palatucci
Luca Migliorini         Rodrigo Palma
Gueorgui Mihaylov       Etienne Pardoux
Annie Millet            Alberto Parmeggiani
Pierluigi Minari        Matilde Pasqua
Ida Minelli             Giuseppe Passino
Francesco Mininni       Scott Pauls
Igor Moiseev            Laurent Paumier
Regis Monneau           Grigorios Pavliotis
Sara Montagna           Andrea Pedeferri
Andrea Montanari        Alessandro Pellegrinotti
Federico Montanari      Valentina Pepe
Luigi Montoro           Ennio Peres
Laura Maria Morato      Ludovico Pernazza
Jean-Michel Morel       Alberto Perotti
Giovanni Moreno         Luisa Peruzzi
Enrico Moriconi         Szymon Peszat
Davide Moroni           Jean Petitot
Philippe Mounaix        Mircea Petrache
Tom Mountford           Federica Pezzotti
Domenico Mucci          Paolo Piccinni
Carl Mueller            Paolo Piccione
Karsten Mueller         Benedetto Piccoli
Reto Mueller            Roberta Piredda
Stefan Mueller          Anna Piro Grimaldi
Massimo Mugnai          Adriano Pisante
M.K.Venkatesha Murthy   Fabrice Planchon
Julien Murzi            Massimiliano Pontecorvo
Leonid Mytnik           Gustavo Posta
Antonella Nannicini     Tal Poznansky
Roberto Natalini        Aldo Pratelli
Dag Prawitz                 Michael Scheutzow
Elena Prestini              Björn Schmalfuß
Errico Presutti             Oliver Schnuerer
Enrico Priola               Felix Schulze
Guillermo Gonzalo Quelali   Giovanni Sebastiani
Maria Alessandra Ragusa     Emanuele Lindo Secco
Gregory Randall             Pierre Seppecher
Hans Martin Reimann         Raul Serapioni
Andriy Rekalo               Sylvia Serfaty
Germano Resconi             Francesco Serra Cassano
Marco Ribezzi               Hélia Serrano
Fulvio Ricci                James A. Sethian
Tom Richardson              Ohta Shinichi
Enrique Rico Ortega         Armen Shirikyan
Marc Oliver Rieger          Lesley Sibner
Giuseppe Riey               Robert Sibner
Barbara Rizzi               Miles Simon
James Robinson              Yakov Sinai
Matthias Roeger             Zeev Sobol
Marco Romito                Lingyang Song
Riccarda Rossi              Panagiotis Souganidis
Massimo Rovini              Richard Sowers
Javier Ruiz-del-Solar       Chiara Spina
Anna Rusinek                Wilhelm Stannat
Francesco Russo             Atanas Stefanov
Barbara Rüdiger             Elias Stein
Michael Röckner             Mark Steiner
Dario Saccavino             Eugene Stepanov
Simon Salamon               Ian Alexander Becket Strachan
Sandro Salsa                Michael Struwe
Stefano Salvia              Andrew Stuart
Gonzalo Sanguinetti         Karl-Theodor Sturm
Filippo Santambrogio        Padma Sundar
Marta Sanz-Solé             Lucien Szpiro
Alessandro Sarti            Atsushi Tachikawa
Elena Sartori               Luca Tagliacozzo
Andrey Sarychev             William Tait
Andrea Sauchelli            Ken'ichi Takahashi
Myrto Sauvageot             Ahmet Serdar Tan
David Sauzin                Lorenzo Taponecco
Giuseppe Savare'            Gabriele Tassi
Nicoletta Scapparone        Oliver Tearne
Reiner Schaetzle            Nicola Teleman
Walter Schempp              Piergiulio Tempesta
Mariano Hernán Tepper   Pascal Olivier Vontobel
Susanna Terracini       Jochen Voss
Maria Carla Tesi        Pierre Vuillermot
Gianmario Tessitore     Feng-Yu Wang
Florian Theil           Peter Weidemaier
Samy Tindel             Sascha Weitkamp
Marco Tolotti           Gil Wiechman
Franco Tomarelli        Nigel Wilkin-Smith
Alessandro Tomasoni     Sven Winklmann
Adriano Tomassini       Ni Xiang
Giuseppe Tomassini      Paul Yang
Peter Topping           Xiaoping Yang
Luca Tranchini          Lai-Sang Young
Aubrey Truman           Jerzy Zabczyk
Gerald Trutnau          Lorenzo Zambotti
Luciano Tubaro          Sandro Zampieri
Thomas Tucker           Cecilia Zanella
Gabriele Usberti        Francesca Zanier
Stefano Valle           Chiara Zanini
Joan Verdera            Elvira Zappale
Rodrigo Verschae        Boguslaw Zegarlinski
Gabriele Vezzosi        Caterina Ida Zeppieri
Jeff Viaclovsky         Tusheng Zhang
Alexandre Vinogradov    Yong Zhou
Lorenza Viola           Giacomo Ziglio
Augusto Visintin        Johannes Zimmer
Luca Vitagliano         Pamela Zontone
Cheran Vithanage        Dahamani Zoubir
Davide Vittone          Steven W. Zucker
Sergey Vodopyanov       Silvia Zuffi

				
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