Center construction for group-crossed tensor categories

Abstract: In this talk, I will talk about my recent generalization of the Drinfeld center construction for group-crossed tensor categories. A group-crossed tensor category is a tensor category with compatible group action and grading, which naturally appear in two-dimensional conformal theory as categories of twisted modules. Indeed, my construction for such categories yields categories "braided for a matched pair of groups", which is a notion introduced recently by Natale. I will also talk about my work in preparation: an equivariant version of Müger's factorization theorem and a group-crossed version of Morita equivalence.

Mathematics

Audience: researchers in the topic

European Quantum Algebra Lectures (EQuAL)

Series comments: EQuAL is an online seminar series on quantum algebra and related topics such as topological and conformal field theory, operator algebra, representation theory, quantum topology, etc. sites.google.com/view/equalseminar/home