Speaker: Harshit Yadav, University of Alberta, Canada

Time: 4pm to 5pm, Friday, 28th March 2025

Venue: Ramanujan Hall, Department of Mathematics

Title: Tensor category results and their applications to vertex operator algebras

Abstract: Vertex operator algebras (VOAs) and modular tensor categories (MTCs) are two central algebraic frameworks for studying two-dimensional conformal field theory. A connection between them arises through the category of modules of a VOA, which often carries a rich tensor categorical structure. In this talk, I will present some results about (modular) tensor categories and their applications to VOAs and their module categories. The focus will be on how these categorical perspectives can offer insights into the structure of VOAs. This is based on joint works with Thomas Creutzig, Robert McRae and Kenichi Shimizu.