Graduate Student Seminar

Analytic aspect of Atiyah-Singer index theorem

Nik C, UoR

Friday, December 6th, 2019
5:30 PM - 6:30 PM
Hylan 1106A

We will explain one side of the equality in the Atiyah-Singer index theorem. It is the index of a Dirac-type operator on a vector bundle . To accomplish this we introduce in order, partial differential operators on bundles, their symbols, ellipticity, the index of a Fredholm operator, Dirac-type operators. Concrete examples of these concepts will be shown. This is expository and no proofs will be shown, although some technique will be demonstrated.

Event contact: nchatzik at ur dot rochester dot edu