Speaker: Prof. L. Polterovich, Tel Aviv University

Title: Analysis and geometry of the Poisson bracket

Abstract: The Poisson bracket is a basic operation on Hamiltonian functions of classical mechanics. In spite of the fact that this operation involves derivatives, it possesses certain robustness properties with respect to perturbations in the uniform norm. It turns out that the origins of this seemingly analytic phenomenon lie in the geometry of the group of symplectic diffeomorphisms. The talk is based on joint works with Michael Entov.