The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on October 4, 2016 at 14:00 in Room 478 of IMI.

A talk on:

Symplectic intersections and global perturbations of Hamiltonian systems

will be delivered by Dragomir Draganov.

Everybody is invited.

Abstract. Given a symplectic manifold M, we recall that a submanifold N is called coisotropic if the symplectically orthogonal distribution of the tangent bundle of N is a subset of the tangent bundle of N. This distribution is integrable in the sense of Frobenius and therefore gives rise to a foliation. We consider the following problem: Given a symplectomorphism φ of M, under what conditions on N and φ we have the following property. There exists a point x on N, so that φ(x) lies on the leaf through x. Further as an application we derive a global perturbation result for Hamiltonian systems.