Dr. Simon Lentner, U Hamburg

Abstract:

I will explain the notion of a Hopf-Galois and -BiGalois object, which can be used to describe monoidal autoequivalences of representations categories of Hopf algebras. As an example I will show some curious occurrences in the category of representations of a finite group.  Then I will talk about my recent work on trying to determine the group of braided autoequivalences for the Drinfel'd double of a finite group and hence the Brauer Picard group. This work should have applications in Dijkgraaf Witten type Topological Field Theories.

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