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SUMMARY:Marco Mackaay (University of Algarve)
DTSTART:20201106T170000Z
DTEND:20201106T180000Z
DTSTAMP:20260423T024654Z
UID:TQFT/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/17/">Th
 e double-centralizer theorem in 2-representation theory and its applicatio
 ns</a>\nby Marco Mackaay (University of Algarve) as part of Topological Qu
 antum Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nFinitary birepresent
 ation theory of finitary bicategories is a categorical analog of finite-di
 mensional representation theory of finite-dimensional algebras. The role o
 f the simples is played by the so-called simple transitive birepresentatio
 ns and the classification of the latter\, for any given finitary bicategor
 y\, is a fundamental problem in finitary birepresentation theory (the clas
 sification problem). \nAfter briefly reviewing the basics of birepresentat
 ion theory\, I will explain an analog of the double centralizer theorem fo
 r finitary bicategories\, which was inspired by Etingof and Ostrik's doubl
 e centralizer theorem for tensor categories. As an application\, I will sh
 ow how it can be used to (almost completely) solve the classification prob
 lem for Soergel bimodules in any finite Coxeter type.\n
LOCATION:https://researchseminars.org/talk/TQFT/17/
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