The homotopy coherent classification of fusion 2-categories

Abstract: Fusion 2-categories are a higher categorical analog of fusion categories that have gained a lot of attention in the last years because of their importance in many fields of math and physics, such as TQFTs, condensed matter physics and high energy physics. The classifiction of fusion (1-) categories is a very active research area and has provided new examples and led to the development of new invariants and tools to understand these categories.

In this talk, we will present a parametrization of multifusion 2-categories in terms of lower categorical data, involving braided fusion categories, group theory, and cohomological data. If time allows, we will also show some applications of this result. This is a joint work in with T. Décoppet, T. Johnson-Freyd, P. Huston, D. Nikshych, D. Penneys, D. Reutter, and M. Yu.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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