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SUMMARY:The TFT construction of finite rigid CFTs [Oberseminar Darstellung
 stheorie]
DTSTART:20260605T121500Z
DTEND:20260605T131500Z
DTSTAMP:20260716T200100Z
UID:indico-event-1329@math-events.uni-bonn.de
DESCRIPTION:Speakers: Aaron Hofer (MPI)\n\nEven though two-dimensional con
 formal field theories have been studied by physicists and mathematicians f
 or decades\, a rigorous construction\, in the form of a complete set of co
 nsistent correlation functions\, still remains elusive for a large class o
 f theories. Instead of tackling this construction problem directly\, the s
 ituation becomes more tractable by splitting it into a complex-analytic/al
 gebro-geometric and a purely algebraic/topological part. For the class of 
 so-called rational CFTs the work of Fuchs\, Runkel\, and Schweigert comple
 tely solved the second part over twenty years ago\, using the three dimens
 ional topological field theories of Reshetikhin and Turaev.\nIn this talk\
 , I will review the FRS construction and explain how it can be generalised
  to so-called finite rigid CFTs using the non-semisimple 3d TFTs of De Ren
 zi\, Gainutdinov\, Geer\, Patureau-Mirand\, and Runkel. Moreover\, I will 
 illustrate how this construction can be used to obtain interesting algebra
 s in non-semisimple modular tensor categories\, and prove some of their pr
 operties purely topologically.\n\nhttps://math-events.uni-bonn.de/event/13
 29/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1329/
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