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SUMMARY:Matthew Yu (Perimeter)
DTSTART:20221206T150000Z
DTEND:20221206T160000Z
DTSTAMP:20260423T021135Z
UID:SymSem/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SymSem/23/">
 Gauging noninvertible surface operators\, and the 2-Deligne theorem.</a>\n
 by Matthew Yu (Perimeter) as part of Symmetry Seminar\n\n\nAbstract\nI wil
 l explain a generalization of the notion of an anomaly for a symmetry to a
  noninvertible symmetry enacted by surface operators using the framework o
 f condensation in 2-categories. I will give examples of when we have reaso
 nable control over these anomalies\, and prove theorems about the structur
 e of the 2-category obtained by condensing a suitable algebra object.  I w
 ill provide examples where the resulting category displays grouplike fusio
 n rules and through a cohomology computation\, find the obstruction to con
 densing further to the vacuum theory. I will then present the main result 
 of this work\, which categorifies a theorem of Deligne about the existence
  of fibre functors for 1-categories.  This work was done in collaboration 
 with Thibault Decoppet.\n
LOCATION:https://researchseminars.org/talk/SymSem/23/
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