Symplectic Homogenization

MEMBERS SEMINAR
Topic:Symplectic Homogenization
Speaker:Claude Viterbo
Affiliation:Ecole Polytechnique; Member, School of Mathematics
Date:Monday, October 11
Time/Room:2:00pm - 3:00pm/S-101

Given a Hamiltonian on $T^n\times R^n$, we shall explain how the sequence of suitably rescaled (i.e. homogenized) Hamiltonians, converges, for a suitably defined symplectic metric. We shall then explain some applications, in particular to symplectic topology and invariant measures of dynamical systems.