Numbers in modular tensor categories
Organizers
Speaker
Time
Wednesday, November 8, 2023 12:00 PM - 1:00 PM
Venue
A4-1
Abstract
Modular tensor categories (MTCs) are finite tensor categories giving interesting SL(2,Z) representations. They can be viewed as generalizations of quadratic forms and their Weil representations. In this talk, I will give a quick introduction to MTCs, and briefly explain how, via the congruence property and Galois symmetry of the associated SL(2,Z) representations, basic algebraic number theory appears in the study of MTCs.
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.