DATE:                 Friday, November 6, 2009                      

LOCATION:       Hempfield High School, Room 213

(directions at http://www.millersville.edu/~tgts/)              

followed by dinner at a place to be determined.

4:30 TALK:  Zhigang Han,  Millersville University                          

“Morse Homology and Floer Homology”

Abstract: In this talk, I will first review the definition of Morse homology. I will then introduce the symplectic Floer homology of a Hamiltonian diffeomorphism, which is an infinite dimensional analog of Morse homology. I will explain how this proves the Arnold conjecture which states that a Hamiltonian diffeomorphism of a symplectic manifold must have at least as many fixed points as the sum of its Betti numbers.