On fusion 2-categories

Abstract: I will revisit and categorify concepts from the theory of fusion categories — including idempotent completeness and semi-simplicity, ultimately leading to a notion of `fusion 2-category’. I will highlight structural similarities and differences between fusion 1- and 2-categories and discuss several concrete examples. If time permits, I will discuss the role of fusion 2-categories as a natural building block for 4-dimensional topological field theories.

category theoryquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This online 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.

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