Abstract: The modern theories of dynamical systems and symplectic geometry start with Poincare. Concerning Hamiltonian dynamics, Poincare had a very integrated viewpoint combining geometric and dynamical ideas. Over the time the two fields developed independently. Given the highly developed states of both fields and the background of some promising results the time seems ripe to bring them together around the core of Hamiltonian mechanics, resulting (may be) in a field which one could call "Symplectic Dynamics". It should have a body of theory and techniques which combine in a nontrivial way dynamical and symplectic ideas, with the aim to tackle problems which are neither accessible by dynamical ideas nor by purely symplectic ideas. The talk will give some ideas what this field would be about.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006