题目：Eta Invariant, Spectral Flow and their Asymptotic

报告人：李一寒 （南开大学） 

摘要 : In this talk, I will present the work of my doctoral thesis ''Asymptotic Spectral Flow''. We will start by shortly reviewing the Eta Invariant defined for Dirac operators, which is first introduced in the Atiyah-Patodi-Singer (APS) Index Theorem and also called spectral asymmetry. Both eta invariant and the APS Index theorem are and closely related to spectral flow in several senses. The asymptotic spectral flow is first introduced and discussed by Taubes as an important part in his proof of the Weinstein conjecture in dimension 3. Based on their relation and the technique of the local index theorem, we found an alternative and better estimate of the asymptotic spectral flow with heat kernel estimate that combined the method of Bismut-Freed and Dai-Liu-Ma.As an important ingredient, an estimate of the asymptotic of eta invariant is also shown.

时间： 1月11日（周二）15:00-16:00

地点：565net必赢客户端本部新教二楼 808 教室

联系人：戎小春

欢迎全体师生积极参加！