|Princeton/IAS Symplectic Geometry Seminar|
|Topic:||Periodic symplectic cohomologies|
|Date:||Friday, May 1|
|Time/Room:||1:30pm - 2:30pm/S-101|
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.