What is Weak KAM Theory?

Job Candidate Talk
Tuesday, March 3, 2015 - 11:05
1 hour (actually 50 minutes)
Skiles 006
ENS Lyon
The goal of this lecture is to explain and motivate the connection between Aubry-Mather theory (Dynamical Systems), and viscosity solutions of the Hamilton-Jacobi equations (PDE). The connection is the content of weak KAM Theory. The talk should be accessible to the ''generic" mathematician. No a priori knowledge of any of the two subjects is assumed.