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 0029cc金沙贵宾会
欢迎感兴趣的师生参加!