学术报告(张俊 12.24)

Persistence modules in symplectic topology

发布人:周妍 发布日期:2018-12-04
主题
Persistence modules in symplectic topology
活动时间
-
活动地址
新数学楼 415
主讲人
张俊 博士后(特拉维夫大学)

Abstract

This talk is about how persistent homology theory is used in symplectic geometry. I will start from the main algebraic object - persistence module, and explain how various filtered homology theories in symplectic geometry can be formulated in this language. Then I will focus on its application on symplectic embeddings. In a joint work with V. Stojisavljevic, we defined symplectic Banach-Mazur distance in the space of Liouville domains in the cotangent bundle of a base manifold. Also, we obtained conclusions on this pseudometric space from a coarse geometric viewpoint when the base manifold is a closed surface. Finally, I will emphasize how this technique can be used to study closed geodesics.

 

数学学院

2018年12月4日