DEPARTMENT COLLOQUIUM 

2/12/2003

Jean Bourgain
Institute for Advanced Study

Quasi-periodic localization and related

Abstract

This is a survey of recent work on quasi-periodic localization .We discuss progress on classical issues such as behaviour of the spectrum and eigenfunctions of lattice Schrodinger operators with qp potential using subharmonic function and semi-algebraic set theory.Also applications to linear Schrodinger equations with time dependent potential and KAM theory for nonlinear Hamiltonian PDE's.