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DTSTART:20240310T070000
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DTSTART;TZID=America/Toronto:20241113T160000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-187
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:YASUYUKI KAWAHIGASHI\, UNIVERSITY OF TOKYO\n\nSubfactors\, quan
 tum 6j-symbols and alpha-induction\n\nTensor categories have found many ap
 plications in physics and\nmathematics\, particularly quantum field theory
  and condensed matter\nphysics in recent years\, as a new type of symmetry
  generalizing a\nclassical notion of a group. Operator algebras give usefu
 l and\nefficient tools to study tensor categories. A fusion category\, a\n
 tensor category with certain finiteness condition\, is characterized by\na
  finite set of complex numbers satisfying certain compatibility\ncondition
 \, called quantum 6j-symbols. Its variant\, called bi-unitary\nconnections
 \, has played an important role in the Jones theory of\nsubfactors in oper
 ator algebras. We have a tensor functor called\nalpha-induction for a brai
 ded fusion category\, as a quantum version of\na classical machinery of an
  induced representation for a subgroup. We\ndescribe alpha-induction in th
 e framework of quantum 6j-symbols from a\nviewpoint of being of a canonica
 l form.\n\nMC 4042 or join on Zoom\n[https://uwaterloo.zoom.us/j/941863548
 14?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09]
DTSTAMP:20260505T152636Z
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