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SUMMARY:Categorifying connections - Emily Peters (Loyola University Chicag
 o)
DTSTART:20230628T080000Z
DTEND:20230628T090000Z
UID:TALK201988@talks.cam.ac.uk
DESCRIPTION:The road between subfactors and fusion categories is well-trod
 den in both directions\; subfactors provide examples of fusion categories 
 not seen elsewhere\, and fusion category techniques can be applied in\, eg
 \, the construction and classification of subfactors. In this talk we tran
 slate the main ideas of Ocneanu&rsquo\;s paragroup theory into tensor cate
 gorical language\; we begin by explaining why connections on bipartite gra
 phs correspond to a pair of functors from the Temperley-Lieb-Jones categor
 ies into a graph category\, and commutator data.&nbsp\; This is joint work
  with David Penneys and Noah Snyder.
LOCATION:Seminar Room 1\, Newton Institute
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