报告人：颜俊榕（北京国际数学研究中心）

时 间：2023年7月12日15:30

地 点：厦门大学海韵园实验楼106报告厅

内容摘要:

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.

个人简介：

颜俊榕，本科毕业于南开大学，博士毕业于美国加州大学圣巴巴拉分校，导师为戴先哲教授。2022年在北京国际数学研究中心开始博士后工作，研究方向为指标理论，数学物理和谱几何。已有成果发表在学术期刊Math. Z.和J. Inst. Math. Jussieu.上。

联系人：欧剑宇