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题目：Witten deformation for non-Morse functions and gluing formulas

报告人：Junrong Yan (BICMR)

Abstract:

Witten deformation is a versatile tool with numerous applications in mathematical physics and geometry. In this talk, we will focus on the analysis of Witten deformation for a family of non-Morse functions, leading to a new proof of the gluing formula for analytic torsions. Then we could see that the gluing formula can be reformulated as the Bismut-Zhang theorem for non-Morse functions. Furthermore, this approach can be extended to analytic torsion forms, which also provides a new proof of the gluing formula for analytic torsion forms.

北京时间：2023-8-2周三下午4:00-5:00

地点：校本部教二楼613教室

邀请人：戎小春、胥世成