*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。