Fusion 2-Categories and their Classification
CMSA EVENTS: CMSA Geometry and Quantum Theory Seminar
When: October 22, 2024
4:15 pm - 6:15 pm
Where: Science Center Hall E
Address:
1 Oxford St, Cambridge 02138, United States
Speaker: Thibault Décoppet (Harvard University)
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.