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科学研究
An Index Theorem for End-Periodic Toeplitz Operators
邀请人:王常亮
发布时间:2021-11-18浏览次数:

题目:An Index Theorem for End-Periodic Toeplitz Operators

报告人:李一寒 博士 (陈省身数学研究所)

地点:腾讯会议室

时间:2021年11月19日(星期五) 10:30-11:30

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.

腾讯会议:ID:691 745 246

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