Structure of braided tensor categories

Thursday, November 29, 2012 - 12:00 to 12:45
Speaker Information
Alexei Davydov
Assistant Professor
Ohio University

Abstract or Additional Information

A certain equivalence relation (Witt equivalence) allows one to organize braided tensor categories into a manageable set of classes. For example under this equivalence symmetric tensor categories form just two classes (Tannakian and super-Tannakian). In the fusion braided case the equivalence classes form a group (a generalization of the Witt group). The structure of this group is related to a conjecture of Moore and Seiberg about chiral algebras of rational conformal field theories.

Research Area