题目：Dirac operators and vanishing theorems

报告人：张伟平 院士        南开大学数学研究院

时间：2012年1月5日 下午3：00－4：00 

地点：管理科研楼1611
 

摘要：

There are two classical vanishing theorems involving Dirac operators:

1. the Lichnerowicz theorem: if a closed spin manifold admits a Riemannian metric of positive scalar curvature, then the A-hat genus of this spin manifold vanishes;

2. the Atiyah-Hirzebruch theorem: if a closed spin manifold admits a nontrivial circle action, then the A-hat genus of this spin manifold vanishes. In this talk we will describe some of the vast developments arising from these two results.

主办单位：中科院吴文俊数学重点实验室        中国科学技术大学数学科学学院

欢迎感兴趣的师生参加!