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.