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Speaker:

Alexander Voronov
Affiliation:

U of Minnesota
Date:

Sun, 2016-03-20 16:30 - 17:30
Location:

MPIM Lecture Hall The goal of my talk is to categorify Dijkgraaf-Witten theory, i.e., gauge theory

with a finite gauge group, aiming at providing foundation for a direct construction

of Dijkgraaf-Witten theory as an Extended Topological Quantum Field Theory.

The main tool is cohomology with coefficients in a Picard groupoid, namely the

Picard groupoid of hermitian lines. I will define cap product between homology

and cohomology with coefficients in Picard groupoids and use it to construct

Dijkgraaf-Witten theory in arbitrary dimension as a functor from the category of

cobordisms to that of vector spaces. This is a joint work with my graduate student

Amit Sharma.

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