Braided Zestings of Verlinde Modular Categories and Their Modular Data | BIMSA-Tsinghua Quantum Symmetry Seminar

Abstract

In this talk, I will describe the construction known as 'Zesting of Braided Fusion Categories', a procedure that can be used to obtain new modular categories from a modular category with non-trivial invertible objects. I will also present our work on classifying and constructing all possible braided zesting data for modular categories associated with quantum groups at roots of unity. We have produced closed formulas, based on the root system of the associated Lie algebra, for the modular data of these new modular categories.

Reference:This talk is based on the preprint https://arxiv.org/abs/2311.17255, a joint work with Giovanny Mora and Eric C. Rowell.

Speaker Intro

César Galindo is a professor of mathematics at Universidad de los Andes, Bogotá, Colombia. His research interests focus on the representation theory of quantum groups and fusion categories, with an emphasis on applications to quantum computing.