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SUMMARY:Nivedita (University of Oxford)
DTSTART:20250219T104500Z
DTEND:20250219T114500Z
DTSTAMP:20260423T035612Z
UID:EQuAL/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/36/">M
 odels for 2-Hilb and 3-Hilb as target categories for Functorial Field Theo
 ries</a>\nby Nivedita (University of Oxford) as part of European Quantum A
 lgebra Lectures (EQuAL)\n\n\nAbstract\nWe introduce W*-Cat\, the bicategor
 y of complete W*‐categories\, functors and natural transformations and d
 iscuss its equivalence with the Morita category of von Neumann algebras (v
 N2). We highlight some analogies of W*‐categories with Hilbert spaces po
 inting towards W*-Cat being a model for 2-Hilb (based on https://arxiv.org
 /abs/2411.01678). We also introduce a categorified analogue of von Neumann
  algebras\, motivating definition of a Bicommutant Category such that the 
 Morita category of bicommutant categories would model 3-Hilb. This is work
  in progress.\n
LOCATION:https://researchseminars.org/talk/EQuAL/36/
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