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Lie Group Quantum Mathematics Seminar

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.

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