An index theoretic proof of the Grothendieck-Riemann-Roch theorem for coherent sheaves
发布人: 杨奔   发布时间: 2022-11-28   浏览次数: 10

*时间:2022年12月1日  10:00-11:00

*地点:腾讯会议:392277569

*主讲人:韦兆汀 助理教授(美国Texas A&M University-Commerce

*主持人:刘博 教授

*讲座内容简介:

It is well-known that the Hirzebruch–Riemann–Roch theorem in algebraic geometry is a special case of the Atiyah-Singer index theorem. In this talk I will present a proof of the Grothendieck-Riemann-Roch theorem as a special case of the family version of the Atiyah-Singer index theorem. In more details, we first give a Chern-Weil construction of characteristics forms of coherent sheaves in terms of antiholomorphic flat superconnections, and then give a heat-kernel proof of Grothendieck-Riemann-Roch theorem. This is a joint work with Jean-Michel Bismut and Shu Shen (申述).

*主讲人简介:

韦兆汀,2007年本科毕业于北京大学数学科学学院,2013年博士毕业于美国University of Pennsylvania。之后曾在美国Indiana University Bloomington和Kent State University-Geauga先后做博士后和助理教授工作,现为美国Texas A&M University-Commerce数学系助理教授。韦兆汀的研究方向主要是非交换几何和高阶范畴论。