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Online Seminar: On fusion 2-categories May 13, 2020 (10:00 AM PDT - 11:00 AM PDT)
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Location: MSRI: Online/Virtual
Speaker(s) David Reutter (Max-Planck-Institut für Mathematik)
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On Fusion 2-Categories


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As one of the main protagonists of quantum algebra, fusion categories have applications ranging from representation theory, over analysis to quantum topology. In this talk, I will discuss their categorification to `fusion 2-categories’ — including appropriate 2-categorical notions of `2-idempotent completeness‘ and ‚semi-simplicity‘. If time permits, I will discuss their role as a natural target for 4-dimensional topological field theories, and their place in a hierarchy of notions of `categorified finite-dimensional linear algebra’. This is based on joint work with Chris Douglas https://arxiv.org/abs/1812.11933

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On Fusion 2-Categories

H.264 Video 25058_28453_8345_On_Fusion_2-Categories.mp4