PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Ping Xu, Mathieu Stienon, Nigel Higson.

Title:Floer homology and the spectral metric
Seminar:GAP Seminar
Speaker:Zhigang Han, Millersville University
Abstract:
After a brief review of the Morse homology, I will go through the definition of the Floer homology of a Hamiltonian diffeomorphism, which is an infinite dimensional analog of Morse homology. Using the Floer homology, I will define a biinvariant metric, known as the Schwarz-Oh spectral metric on the group of Hamiltonian diffeomorphisms. Finally I will explain why the spectral metric does not extend to a biinvariant metric on the group of all symplectomorphisms for certain symplectic manifolds.

Room Reservation Information

Room Number:MB106
Date:04 / 27 / 2010
Time:02:30pm - 03:30pm