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SUMMARY:Tannaka-Krein reconstruction and the structural theory of fusion 2
 -categories - David  Green (Ohio State University)
DTSTART:20240613T133000Z
DTEND:20240613T140000Z
UID:TALK217792@talks.cam.ac.uk
DESCRIPTION:Tannaka-Krein reconstruction is a well known procedure which r
 ecovers 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-categorie
 s which admit a fiber functor to the 2-category of 2-vector spaces. If tim
 e permits\, we will explain how the&nbsp\;&ldquo\;structural&rsquo\;&rsquo
 \; theory is almost identical to that of 1-categories&nbsp\;and remark on 
 the generality of this phenomenon.
LOCATION:External
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