Lisbon, July 28-August 1, 2003

July 28, Plenary addresses | ||

10:35 - 11:35 | Jan Philip Solovej | The energy of charged matter |

11:50 - 12:50 | Stanislav Smirnov | Critical percolation and conformal invariance |

July 28, Fluid dynamics and nonlinear PDEs | ||

14:45 - 15:15 | M. Hairer | Coupling stochastic PDEs |

15:15 - 15:45 | A. Shirikyan | Some mathematical problems of statistical hydrodynamics |

15:45 - 16:15 | G. Schneider | Diffusive behavior in hydrodynamical stability problems |

July 28, Quantum field theory | ||

14:45 - 15:15 | J. Dimock | Local string field theory |

15:15 - 15:45 | T. Thiemann | Loop quantum gravity |

15:45 - 16:15 | C. J. Fewster | Energy inequalities in quantum field theory |

July 28, General relativity | ||

16:30 - 17:00 | P. Bizon | TBA |

17:00 - 17:30 | H. Bray | Estimates on the ADM mass using inverse mean curvature-like flows |

17:30 - 18:00 | P. Chrusciel | Initial data engineering |

July 28, Nonequilibrium statistical mechanics | ||

16:30 - 17:00 | F. Golse | On the statistics of free-path lengths for the periodic Lorentz gas |

17:00 - 17:30 | H. T. Yau | Diffusion of random Schrödinger equation in scaling limits |

17:30 - 18:00 | J. Lebowitz | Large deviations and fluctuations in some model stationary nonequilibrium systems |

18:00 - 18:15 | L. Bertini | Large deviations for boundary driven lattice gases |

July 29, Plenary addresses | ||

09:00 - 10:00 | Eric Carlen | On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory |

10:15 - 11:15 | Alain Chenciner | Symmetries and "simple" solutions of the classical n-body problem |

11:30 - 12:30 | Klaus Fredenhagen | Locally covariant quantum field theory |

July 29, Condensed matter physics | ||

14:00 - 14:30 | S. Teufel | Effective dynamics for Bloch Electrons: Peierls substitution and beyond |

14:30 - 15:00 | J. Feldman | Construction of a 2-d Fermi liquid: the results |

15:00 - 15:30 | M. Salmhofer | Fermi systems in two dimensions and fermi surface flows |

July 29, Dynamical systems | ||

14:00 - 14:30 | W. Schlag | Recent work on discrete Schrödinger operators with deterministic potentials |

14:30 - 15:00 | M. Shub | Nonzero Lyapunov exponents versus deterministic exponents for a twist like family of diffeomorphisms of the two sphere |

15:00 - 15:30 | J. Mather | Arnold diffusion |

July 29, Quantum field theory | ||

15:45 - 16:15 | D. Bernard | Conformal field theories of stochastic Loewner evolutions |

16:15 - 16:45 | R. Longo | A dichotomy in conformal field theory |

16:45 - 17:15 | J. Teschner | Geometric aspects of the Liouville quantum field theory |

July 29, Fluid dynamics and nonlinear PDEs | ||

15:45 - 16:15 | D. Bambusi | Some results on Birkhoff Normal Form in Hamiltonian PDEs |

16:15 - 16:45 | V. Kaloshin | Dynamics of oil spill |

July 29, General relativity | ||

15:45 - 16:15 | H. Ringstrom | On a wave map equation arising in general relativity |

16:15 - 16:45 | I. Rodnianski | On the Cauchy problem in general relativity |

16:45 - 17:15 | E. Seidel | Numerical black holes |

July 29, Nonequilibrium statistical mechanics | ||

17:30 - 18:00 | P. Gaspard | The fractality of the hydrodynamic modes of diffusion |

18:00 - 18:30 | L. Barreira | Poincaré recurrence: old and new |

18:30 - 18:45 | C. Forster | Analysis of Lyapunov modes in real and reciprocal space |

18:45 - 19:00 | L. Rey-Bellet | Non equilibrium statistical mechanics of open classical systems |

19:00 - 19:15 | D. Ueltschi | On non-equilibrium stationary states between reservoirs of quantum particles |

July 29, Operator algebras and quantum information | ||

17:30 - 18:10 | C. King | Some applications of matrix inequalities in quantum information theory |

18:10 - 18:30 | I. Bjelakovic | Limit theorems for quantum entropies |

18:30 - 19:00 | D. E. Evans | Modular invariants and subfactors |

July 29, String and M theory | ||

17:30 - 18:00 | M. Douglas | Counting critical points and supersymmetric vacua |

18:00 - 18:30 | B. Julia | A duality between M-theory and algebraic surfaces: BPS superalgebras |

18:30 - 19:00 | P. Townsend | Cosmic acceleration and M-theory |

July 30, Plenary addresses | ||

09:00 - 10:00 | Volker Schomerus | Strings through the microscope |

10:15 - 11:15 | Cedric Villani | Entropy production and convergence to equilibrium for the Boltzmann equation |

11:30 - 12:30 | Maria J. Esteban | Relativistic models in atomic and molecular physics |

July 31, Plenary addresses | ||

09:00 - 10:00 | Krzysztof Gawedzki | Simple models of turbulent transport |

10:15 - 11:15 | Igor Krichever | Algebraic versus Liouville integrability of the soliton systems |

July 31, Path integrals and stochastic analysis | ||

14:00 - 14:30 | S. Mazzuchi | Some new developments of Feynman path integrals and applications |

14:30 - 15:00 | M. Roeckner | An analytic approach to Kolmogorov's equations in infinite dimensions and probabilistic consequences |

15:00 - 15:30 | H. Owhadi | Averaging versus chaos in turbulent transport? |

July 31, Dynamical systems | ||

14:00 - 14:30 | H. Eliasson | Reducibility and almost reducibilty for linear quasi-periodic systems |

14:30 - 15:00 | D. Dolgopyat | Dynamics of particles in dispersive billiards |

15:00 - 15:30 | M. Viana | TBA |

July 31, Quantum mechanics and spectral theory | ||

14:00 - 14:30 | E. Skibsted | Zero energy asymptotics of the resolvent in the long range case |

14:30 - 14:45 | V.A. Zagrebnov | Trotter-Kato product formula: recent results |

14:45 - 15:00 | T. Ichinose | Productformula for quantum Zeno dynamics |

15:00 - 15:30 | P. Exner | Schrödinger operators with graph-type interactions |

July 31, Operator algebras and quantum information | ||

15:45 - 16:15 | A. Wassermann | Operator algebras and positive energy representations |

16:15 - 16:45 | Y. Kawahigashi | Classification of operator algebraic conformal field theories |

16:45 - 17:15 | F. Benatti | Quantum dynamical entropies and quantum algorithmic complexities |

July 31, Integrable systems and random matrix theory | ||

15:45 - 16:15 | H. Spohn | Growth models and random matrices |

16:15 - 16:45 | K. McLaughlin | The complete asymptotic expansion of the partition function of Random Matrix Theory: via Riemann-Hilbert techniques |

16:45-7:15 | A. Okounkov | Random partitions and their applications |

July 31, Equilibrium statistical mechanics | ||

15:45 - 16:15 | G. F. Lawler | Restriction property and the Schramm-Loewner evolution |

16:15 - 16:45 | H. Knoerrer | Construction of a 2-d Fermi liquid: the strategy |

16:45 - 17:15 | D. Ioffe | Random walk representation and Ornstein-Zernike theory of fluctuations |

August 1, Plenary addresses | ||

10:00 - 11:00 | Dan Voiculescu | Aspects of free probability |

11:15 - 12:15 | Robert V. Moody | Long-range order and diffraction in mathematical quasicrystals |

August 1, Quantum mechanics and spectral theory | ||

14:00 - 14:30 | G. Stolz | Fractional moment methods for Anderson localization in the continuum |

14:30 - 14:45 | D. Yafaev | A particle in a magnetic field of an infinite rectilinear current |

14:45 - 15:00 | T. Chen | Localization lenghts and Boltzmann limit for the Anderson model at small disorder in d=3 |

15:00 - 15:30 | V. Kostrykin | On Adiabatic Theorem of Quantum Mechanics |

August 1, Integrable systems and random matrix theory | ||

14:00 - 14:30 | J.-M. Maillet | Correlation functions of the XXZ spin-1/2 chain: recent progress |

14:30 - 15:00 | A. Nakayashiki | Classifying the local operators in SU(2) invariant Thirring model |

15:00 - 15:30 | P. Dorey | Differential equations and the Bethe ansatz |

August 1, Condensed matter physics | ||

15:45 - 16:15 | G. M. Graf | Adiabatic charge pumping in open quantum systems |

16:15 - 16:45 | A. Elgart | Adiabatic transport, Kubo formula and Anderson localization in some lattice and continuum models |

16:45 - 17:15 | R. Seiringer | One-dimensional behavior of dilute, trapped Bose gases |

August 1, Path integrals and stochastic analysis | ||

15:45 - 16:15 | A. Sengupta | A functional integral applied to topology and algebra |

16:15 - 16:45 | T. Levy | Wilson loops vs spin networks |

16:45 - 17:15 | R. Leandre | Connes-Hida Calculus and index theory |

August 1, Equilibrium statistical mechanics | ||

17:30 - 18:00 | F. Guerra | Rigorous results for mean field spin glass models |

18:00 - 18:30 | J. Imbrie | Branched polymers and dimensional reduction |

18:30 - 19:00 | L. Chayes | Thresholds for surface formation in equilibrium: mesoscopic and macroscopic phenomena |

August 1, String and M theory | ||

17:30 - 18:00 | N. Nekrasov | Four dimensional mirror symmetry |

18:00 - 18:30 | M. Marino | The topological vertex |

18:30 - 19:00 | J. Gomis | String interactions from gauge fields |