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Witten deformation for non-Morse functions and gluing formulas
颜俊榕 博士后(北京大学)
2023年3月28日 13:00-14:00  数学楼102

*主持人:刘博 教授

*讲座内容简介:

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 provides a new proof of the gluing formula for analytic torsion forms.

*主讲人简介:

颜俊榕,博士毕业于加州大学圣巴巴拉分校,北京国际数学中心博士后,研究方向: 数学物理,微分几何和偏微分方程。