Published on *Max-Planck-Institut für Mathematik* (http://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Alexander Voronov
Zugehörigkeit:

U of Minnesota
Datum:

Son, 20/03/2016 - 16:30 - 17:30 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/de/node/3444

[3] http://www.mpim-bonn.mpg.de/de/node/6477