Speaker：Yangyang Chen（Jiangnan University）

Time：2022-05-20, 15:00

Location：Tencent Meeting ID：436 5742 3564（No Password）

Abstract:

This is the last talk in a series on the Schwartz homology theory of Nash groups. In this talk, I will explain some of the applications of the Schwartz homology theory. Firstly, I will give a short proof of a vanishing result of Casselman-Hecht-Milicic. Secondly, I will derive the automatic extension theorem in the Archimedean setting, which is the counterpart of a result of Hong-Sun in the p-adic case. Finally I will discuss some finiteness and Hausdorffness property of Schwartz homology.