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SUMMARY:David Penneys (The Ohio State University\, USA)
DTSTART:20210111T150000Z
DTEND:20210111T160000Z
DTSTAMP:20260422T175222Z
UID:QGS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/7/">Disc
 rete subfactors\, realization of algebra objects\, and Q-system completion
 </a>\nby David Penneys (The Ohio State University\, USA) as part of Quantu
 m Groups Seminar [QGS]\n\n\nAbstract\nIn recent decades\, we have seen tha
 t quantum symmetries of quantum\nmathematical objects\, like non-commutati
 ve spaces and quantum field\ntheories\, are best described by quantum grou
 ps\, subfactors\, and\nunitary tensor categories. Subfactor classification
  has led to\ndiscovery of interesting "exotic" quantum symmetries and to i
 mportant\nconstructions for unitary tensor categories. For example\, Q-sys
 tems\n(special C* Frobnius algebra objects) were introduced by Longo to\nc
 haracterize the canonical endomorphism for type III subfactors\, which\nis
  the analog of Jones' basic construction for type $II_1$ and Kosaki's\nver
 sion for type III. We will use this perspective to discuss some\nsubfactor
  results which go beyond small index classification\, making\nconnections 
 to quantum groups along the way. We'll then discuss a\nversion of a unitar
 y higher idempotent completion for C*/W*\n2-categories based on Gaiotto-Jo
 hnson-Freyd's theory of condensations\nin higher categories.\n
LOCATION:https://researchseminars.org/talk/QGS/7/
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