Seminar

The representation categories of many interesting algebraic structures such as vertex operator algebras and quantum groups are modular tensor categories, which are categorical generalizations of finite abelian groups with nondegenerate quadratic forms. The notion of Gauss sum can be defined analogously for any modular tensor category. In this presentation, we will talk about some higher degree version of Gauss sums, their relations with higher Frobenius-Schur indicators, and the Witt invariance of the associated higher central charges. The talk is based on a joint work with A. Schopieray and Y. Wang