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Geometry-Topology Seminar

Thursday, April 29, 2021 - 4:30pm

Zhaoting Wei

Texas A & M University - Commerce


University of Pennsylvania

via Zoom

The Zoom link is: This same Zoom link will apply for future talks as well. It is set to open at 4 PM so that speakers can come on early and check out their technology setups. The talks will begin at 4:30 PM. We will also stay afterwards, say from 5:30 - 6 PM to chat with one another, as an online substitute for going out to dinner with our speakers. We encourage everyone to have a nice bottle of wine at hand for that social half hour. For further information about the seminar, please contact Mona Merling (, Davi Maximo ( or Herman Gluck (

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 cohesive modules, and then give a heat-kernel proof of Grothendieck-Riemann-Roch theorem. This is a joint work with J.M. Bismut and S. Shen.