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Schedule, Notes/Handouts & Videos

New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015

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Oct 19, 2015
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Wave turbulence for the cubic Szegö equation and beyond
Patrick Gerard (Université de Paris XI)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Diffusive limits for stochastic kinetic equtions
Arnaud Debussche (Ecole Normale Supérieure de Rennes)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Symplectic non-squeezing for the cubic NLS on R^2
Monica Visan (University of California, Los Angeles)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Optimal Regularity for some Parabolic SPDEs
Davar Khoshnevisan (University of Utah)
Oct 20, 2015
Tuesday
09:30 AM - 10:30 AM
  An Applied Math Perspective on Climate Science, Turbulence, and Other Complex Systems
Andrew Majda (New York University, Courant Institute)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Generalized Smoluchowski Equations and Scalar Conservation Laws
Fraydoun Rezakhanlou (University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The Talbot effect and the evolution of Vortex Filaments
Luis Vega (Universidad del País Vasco/Euskal Herriko Unibertsitatea)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  KP-II in 2 and 3d
Herbert Koch (Rheinische Friedrich-Wilhelms-Universität Bonn)
04:30 PM - 06:20 PM
  Reception
Oct 21, 2015
Wednesday
09:30 AM - 10:30 AM
  The Kardar-Parisi-Zhang equation and universality class
Jeremy Quastel (University of Toronto)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  On two-dimensional gravity water waves with angled crests
Sijue Wu (University of Michigan)
Oct 22, 2015
Thursday
09:30 AM - 10:30 AM
  Exotic blow up rates for some critical nonlinear dispersive equations
Yvan Martel (École Polytechnique)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Toward a smooth ergodic theory for infinite dimensional systems
Lai-Sang Young (New York University, Courant Institute)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Invariant measures and the soliton resolution conjecture
Sourav Chatterjee (Stanford University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The large box limit of nonlinear Schrodinger equations in weakly nonlinear regime
Jalal Shatah (New York University, Courant Institute)
Oct 23, 2015
Friday
09:30 AM - 10:30 AM
  Motion of a Random String
Martin Hairer (University of Warwick)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Random Versus Deterministic Approach in the Study of Wave and Dispersive Equations
Gigliola Staffilani (Massachusetts Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Energy distribution and wave turbulence closures for the nonlinear Schrodinger equation
Zaher Hani (Georgia Institute of Technology)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Classical Hamiltonian Systems, Driven out of Equilibrium, a Review
Jean-Pierre Eckmann (University of Geneva)
Oct 26, 2015
Monday
09:30 AM - 10:30 AM
  From particles to linear hydrodynamic equations
Thierry Bodineau (École Polytechnique)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  From particles to linear hydrodynamic equations
Isabelle Gallagher (École Normale Supérieure)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Global stability of a flat interface for the gravity-capillary water-wave model
Benoit Pausader (Brown University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  On global solutions of water wave models
Alexandru Ionescu (Princeton University)
Oct 27, 2015
Tuesday
09:30 AM - 10:30 AM
  Control of water waves
Thomas Alazard (Ecole Normale Supérieure Paris-Saclay; Centre National de la Recherche Scientifique (CNRS))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Universality in polytope phase transitions and message passing algorithms
Andrea Montanari (Stanford University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The stochastic Landau-Lifshitz equation
Anne de Bouard (École Polytechnique)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  On long term dynamics of nonlinear evolution equations
Wilhelm Schlag (University of Chicago)
04:30 PM - 06:20 PM
  Reception
Oct 28, 2015
Wednesday
09:30 AM - 10:30 AM
  Dispersion for the wave and the Schrödinger equations outside strictly convex domains
Oana Ivanovici (Sorbonne University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  SPDEs on graphs as limit of SPDEs on narrow channels
Sandra Cerrai (University of Maryland)
Oct 29, 2015
Thursday
09:30 AM - 10:30 AM
  Renormalisation in regularity structures
Lorenzo Zambotti (Université de Paris VI (Pierre et Marie Curie))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Blow-up of the critical norm for supercritical wave equations
Thomas Duyckaerts (Université de Paris XIII (Paris-Nord))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Second microlocalization and stabilization of damped wave equations on tori
Nicolas Burq (Université de Paris XI)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Data assimilation for high dimensional nonlinear forecasting
David Kelly (New York University, Courant Institute)
Oct 30, 2015
Friday
09:30 AM - 10:30 AM
  Some generic features of dynamics in a high-dimensional rugged landscape
Jorge Kurchan (École Normale Supérieure)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Long wave limit for Schrodinger maps
Pierre Germain (New York University, Courant Institute)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Hitting questions and multiple points for stochastic PDE (SPDE) in the critical case
Carl Mueller (University of Rochester)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The cubic Dirac equation in $H^\frac12(\R^2)$
Ioan Bejenaru (University of California, San Diego)