Seminars & Colloquia Calendar
The Witten Genus and sheaves of vertex algebras
Juan Villarreal, Virginia Commonwealth University
Location: Hill 705
Date & time: Friday, 26 April 2019 at 12:00PM - 1:00PM
- Abstract: In this talk I want to introduce the Witten genus. We can think on the Witten genus as a loop generalization of the Atiyah Singer index theorem for Dirac operators. However, the idea to formalize a Dirac operator on loop spaces has been always a little subtle. Different approaches have been done, and always it has been considered that a vertex algebraic description of this construction must be possible. I want to show a construction using some sheaves of vertex algebras.