Comparing different constructions of modular categories

Abstract: Modular categories arise naturally in many areas of mathematics, such as conformal field theory, representations of braid groups, quantum groups, and Hopf algebras, and low dimensional topology, and they have important applications in condensed matter physics.

Despite recent progress in the classification of modular categories, we are still in the early stages of this theory and the general landscape remains largely unexplored. One important step towards deepening our understanding of modular categories is to have well-studied constructions. In this talk, we will present an overview of various of these constructions and compare their properties. We will focus on ribbon zesting and symmetry gauging, and we will comment on some constructions in the G-crossed setting.

category theoryquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.