Geometry & Topology Seminar: "The Index of Dirac Operators from a Heat Kernel Approach"

Gong Cheng

Abstract: In 1967 Atiyah and Bott showed the supertrace formula for the index of a Dirac operator and in the same year the Mckean and Singer formulated the Mckean-Singer formula using the method of heat kernel. In this talk I'll explain the background of the problem, introduce the heat kernel method and give a proof of the Mckean-Singer formula.

 

Organizer: Xiang Tang