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SUMMARY:David Penneys (The Ohio State University\, USA)
DTSTART:20210111T150000Z
DTEND:20210111T160000Z
DTSTAMP:20260404T163522Z
UID:QGS/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/QGS/7
 /">Discrete subfactors\, realization of algebra objects\, and Q-system com
 pletion</a>\nby David Penneys (The Ohio State University\, USA) as part of
  Quantum Groups Seminar [QGS]\n\n\nAbstract\nIn recent decades\, we have s
 een that quantum symmetries of quantum\nmathematical objects\, like non-co
 mmutative spaces and quantum field\ntheories\, are best described by quant
 um groups\, subfactors\, and\nunitary tensor categories. Subfactor classif
 ication has led to\ndiscovery of interesting "exotic" quantum symmetries a
 nd to important\nconstructions for unitary tensor categories. For example\
 , Q-systems\n(special C* Frobnius algebra objects) were introduced by Long
 o to\ncharacterize the canonical endomorphism for type III subfactors\, wh
 ich\nis the analog of Jones' basic construction for type $II_1$ and Kosaki
 's\nversion for type III. We will use this perspective to discuss some\nsu
 bfactor results which go beyond small index classification\, making\nconne
 ctions to quantum groups along the way. We'll then discuss a\nversion of a
  unitary higher idempotent completion for C*/W*\n2-categories based on Gai
 otto-Johnson-Freyd's theory of condensations\nin higher categories.\n
LOCATION:https://stable.researchseminars.org/talk/QGS/7/
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