Floer homology and the spectral metric

GAP Seminar

Meeting Details

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

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: 106 McAllister

Date: 04/27/2010

Time: 2:30pm - 3:30pm