Title: Poisson brackets, symplectic invariants and Hamiltonian chords.
Speaker: Leonid Polterovich
Speaker Info: University of Chicago and Tel Aviv
We discuss a new invariant associated to a quadruple of closed subsets of a symplectic manifold. This invariant is defined through an elementary variational problem involving Poisson brackets. The proof of its non-triviality requires methods of modern symplectic topology (Floer theory). We present an application to Hamiltonian dynamics and discuss a link to quantum-classical correspondence. The talk is based on a work in progress with Lev Buhovsky and Michael Entov.Date: Tuesday, March 08, 2011