Tannaka-Krein reconstruction and the structural theory of fusion 2-categories

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• David Green (Ohio State University)
• Thursday 13 June 2024, 14:30-15:00
• External.

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TRHW01 - Workshop on topology, representation theory and higher structures

Tannaka-Krein reconstruction is a well known procedure which recovers a Hopf algebra from its category of modules and fiber functor. We will examine a categorifiable proof of Tannaka-Krein reconstruction due to P. Schauenburg, and show the corresponding result for fusion 2-categories which admit a fiber functor to the 2-category of 2-vector spaces. If time permits, we will explain how the “structural’’ theory is almost identical to that of 1-categories and remark on the generality of this phenomenon.

This talk is part of the Isaac Newton Institute Seminar Series series.

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