How to Find Periodic Orbits and Exotic Symplectic Manifolds

Members Seminar
Topic:How to Find Periodic Orbits and Exotic Symplectic Manifolds
Speaker:Mark McLean
Affiliation:Massachusetts Institute of Technology; Member, School of Mathematics
Date:Monday, October 15
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/members/mclean2012Oct15

I will give an introduction to symplectic geometry and Hamiltonian systems and then introduce an invariant called symplectic cohomology. This has many applications in symplectic geometry and has been used a lot especially in the last 5-10 years. I will explain some basic properties of this invariant and how it can be used to find periodic orbits of a Hamiltonian system. I will also explain how this invariant can be used to distinguish symplectic manifolds