Geometry & Topology Seminar

Friday, March 27, 2015 2:30 pm - 2:30 pm EDT (GMT -04:00)

Geoffrey Scott, University of Toronto

“Integrable Systems on Log-Symplectic Manifolds”

A Hamiltonian system on a symplectic manifold is called integrable if there exists a maximal set of Poisson commuting integrals of motion. Around any compact level set of these integrals, there are symplectic coordinates (called action-angle coordinates) on which the Hamiltonian flow is linear. In this talk, I will explain how integrable systems are studied in the more general setting of Poisson manifolds, and I will share some recent joint work with A. Kiesenhofer and E. Miranda on the existence of action-angle coordinates on a certain kind of Poisson manifold, called a log-symplectic manifold. If time permits, I will give a brief application to KAM theory

MC 5413