Noncommutative Geometry Seminar

Date: October 12, 2022

Time: 2:00PM - 3:00PM

Location: BLOC 302

Speaker: Zhaoting Wei, Texas A&M University-Commerce

Title: Grothendieck-Riemann-Roch theorem and index theorem

Abstract: 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 J.M. Bismut and S. Shen. ZOOM link: https://tamu.zoom.us/j/98547610481