Periodic Symplectic Cohomologies

Friday, May 1, 2015 -
1:30pm to 2:30pm

Periodic cyclic homology group associated to a mixed complex was introduced by Goodwillie. In this talk, I will explain how to apply this construction to the symplectic cochain complex of a Liouville domain and obtain two periodic symplectic cohomology theories, which are called periodic symplectic cohomology and finitely supported periodic symplectic cohomology, respectively. The main result is that there is a localization theorem for the finitely supported periodic symplectic cohomology.

Speaker: 
Jingyu Zhao
Columbia University
Event Location: 
IAS Room S-101