## Quasi-periodic solutions to nonlinear PDE's

Wei-Min Wang

Université Paris-Sud

October 26, 2017

We present a new approach to the existence of time quasi-periodic solutions to nonlinear PDE's. It is based on the method of Anderson localization, harmonic analysis and algebraic analysis. This can be viewed as an infinite dimensional analogue of a Lagrangian approach to KAM theory, as suggested by J. Moser.