Mathematical Sciences Colloquium - "The many faces of dispersive and wave equations" Gigliola Staffilani (Massachusetts Institute of Technology) - Stratton Hall 203

Friday, December 08, 2017
11:00 pm to 11:50 pm

Location:

Floor/Room #: 
203

Gigliola Staffilani, Massachusetts Institute of Technology
Host: Luca Capogna

Title: The many faces of dispersive and wave equations

Abstract: In recent years great progress has been made in the study of dispersive and wave equations.  Over the years the toolbox used in order to attack  highly nontrivial problems related to these equations has developed to include a variety of techniques from Fourier and harmonic analysis, analytic number theory, math physics, dynamical systems, probability and symplectic geometry. In this talk I will introduce a variety of problems connected with dispersive and wave equations, such as the derivation of a certain  nonlinear Schrodinger equations from a quantum many-particles system, periodic Strichartz estimates, the concept of energy transfer, the invariance of a Gibbs measure associated to an infinite dimension Hamiltonian system and non-squeezing theorems for such systems when they  also enjoy a symplectic structure.