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报告题目: An Index theorem for end-periodic Toeplitz operator
报 告 人: 李一寒 博士
报告人所在单位: 南开大学陈省身数学研究所
报告日期: 2021-08-04 星期三
报告时间: 09:00-10:00
报告地点: 腾讯会议208 331 165,密码: 040821
   
报告摘要:
In this talk,I will present a recent result on the index theorem for End-Periodic Toeplitz operators. This result can be viewed as a generalization of the theorem by Dai and Zhang for Toeplitz operators on manifolds with boundary and also an odd-dimensional analogue of the index theorem for end-periodic Dirac operators by
Mrowka-Ruberman-Saveliev. In particular,we find a new eta-type invariant in the result and we will show its relation with the eta-type invariant introduced by Dai-Zhang. The approach follows mainly the heat kernel method with a b-calculus-like modification. In the proof,we also introduce a b-eta invariant and a variation formula for it. This is a joint work with professor Guangxiang Su.
   
本年度学院报告总序号: 212

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