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Fusion 2-Categories and their Classification
October 22, 2024 @ 4:15 pm - 6:15 pm
Geometry and Quantum Theory Seminar
Speaker: Thibault Décoppet, Harvard University
Title: Fusion 2-Categories and their Classification
Abstract: Categorifying the classical notion of fusion (1-)category, fusion 2-categories were recently introduced. These objects have found many applications in Physics, most notably to the classification of topological orders, but also to the description of non-invertible symmetries in 2+1 dimensions. The first part of this talk will be devoted to reviewing the definition of a fusion 2-category and giving many examples. In the second half, I will present a remarkable result concerning the Morita theory of fusion 2-categories and explain how it can be used to give a homotopy coherent classification of fusion 2-categories.