Prerequisite

Graduate level algebra.

Abstract

In this course, we first introduce the notion modular tensor categories, and briefly explain how they are related to many areas of mathematics and physics. Then we will focus on the algebraic properties of MTC, mainly from their rationality, Galois symmetry and congruence properties.

Lecturer Intro.

Yilong Wang graduated from The Ohio State University in 2018. After working in Louisiana State University as a postdoc researcher, he joined BIMSA as an assistant research fellow in 2021. His research interests include modular tensor categories and topological quantum field theories.