学术报告（Matthew Bruce Young 8.16）

Abstract: Modular tensor categories classify three dimensional oriented topological fields theories (TFTs). For example, categories of representations of quantum groups at roots of unity are modular and provide a mathematical model for quantum Chern--Simons theory. I'll explain work in progress to define an extension of the theory of modular tensor categories which conjecturally classifies unoriented three dimensional TFTs. I'll explain examples of these extensions and present some related open problems.