Princeton/IAS Symplectic Geometry Seminar | |

Topic: | Periodic symplectic cohomologies |

Speaker: | Jingyu Zhao |

Affiliation: | Columbia University |

Date: | Friday, May 1 |

Time/Room: | 1:30pm - 2:30pm/S-101 |

Video Link: | http://video.ias.edu/puias/2015/0501-JingyuZhao |

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.