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SUMMARY:Ramona Wolf (University of Siegen)
DTSTART:20250122T100000Z
DTEND:20250122T110000Z
DTSTAMP:20260423T035740Z
UID:EQuAL/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/34/">C
 omputing F-symbols for the center of a fusion category via tube algebras</
 a>\nby Ramona Wolf (University of Siegen) as part of European Quantum Alge
 bra Lectures (EQuAL)\n\n\nAbstract\nApplications of fusion categories ofte
 n require the F-symbols to be known explicitly\, for example\, for constru
 cting lattice models in physics. Although\, in principle\, these matrices 
 can always be determined by solving the pentagon equation\, this task is o
 ften difficult in practice since it corresponds to solving a vast system o
 f coupled polynomial equations in a large number of variables. This is esp
 ecially true if we are interested in the center of a fusion category\, whi
 ch typically has too many objects and multiplicities to allow for a direct
  calculation of the F-symbols. In this talk\, I will discuss how one can c
 onstruct the center (including the F-symbols) from a known fusion category
  using representation theory of the tube algebra of the category.\n
LOCATION:https://researchseminars.org/talk/EQuAL/34/
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