活动地点：CMS 201

活动类型：学术报告

主讲人： 鲍尔考博士

活动时间：2016-07-13 14:00:00--2016-07-13 15:00:00

活动内容：

鲍尔考博士专题学术报告 II

 

 

报告题目：Semi-global Kuranishi structures and contact homology

 

报告人：鲍尔考 博士（加州大学洛杉矶分校数学系）

 

时间：2016年7月13日（周三）下午2:00

 

地点：数学中心201教室

 

Abstract: Contact homology was proposed and studied by Eliashberg, Givental and Hofer 16 years ago. It is a very powerful tool to distinguish different contact structures. However, the rigorous definition did not come out until last year. In this talk, we will first see that the naive definition does not work because the spaces of "trajectories" that we count to define the differential of contact homology are not transversally cut out. Then we will construct a finite dimensional space K around the spaces of "trajectories" in a systematical way, and inside K we perturb the "trajectories" so that now they are transversally cut out. The space K together with the perturbation is called a semi-global Kuranishi structure.