Modular categories and their classifications
Organizer
Speaker
Time
Friday, October 15, 2021 9:30 AM - 12:15 PM
Venue
JCY-1
Online
Tencent 953 7541 0477
(2024)
Abstract
Modular categories can be viewed as categorical generalizations of non-degenerate quadratic forms on finite abelian groups. They arise naturally in the study of various areas of mathematics and physics, including representation theory, topological quantum field theory and topological quantum computation.
In this talk, we will give a brief introduction to modular categories with an emphasis on their arithmetic properties. Then we will talk about the current progress on the classification on modular categories, including the recent result on the classification of transitive modular categories.
Speaker 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.