A gentle introduction to fusion 2-categories

Abstract: Fusion 2-categories are a generalization of fusion 1-categories, corresponding under the cobordism hypothesis to fully extended (3+1)D TQFTs. In this talk, I will motivate the definition of fusion 2-category, explore the classification of fusion 2-categories given in arxiv:2411.05907, and sketch some applications of fusion 2-categories in studying non-invertible symmetries.

Mathematics

Audience: researchers in the topic

European Quantum Algebra Lectures (EQuAL)

Series comments: EQuAL is an online seminar series on quantum algebra and related topics such as topological and conformal field theory, operator algebra, representation theory, quantum topology, etc. sites.google.com/view/equalseminar/home