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SUMMARY:The TFT construction of finite rigid CFTs [MPIM]
DTSTART:20260706T120000Z
DTEND:20260706T130000Z
DTSTAMP:20260702T051600Z
UID:indico-event-1451@math-events.uni-bonn.de
DESCRIPTION:Speakers: Aaron Hofer (MPIM)\n\nMPIM Topology Seminar\nEven th
 ough two-dimensional conformal field theories have been studied by physici
 sts and mathematicians for decades\, a rigorous construction\, in the form
  of a complete set of consistent correlation functions\, still remains elu
 sive for a large class of theories. Instead of tackling the construction p
 roblem directly\, the situation becomes more tractable by splitting it int
 o a complex-analytic/algebro-geometric and a purely algebraic/topological 
 part. For the class of so-called rational CFTs the work of Fuchs\, Runkel\
 , and Schweigert completely solved the second part over twenty years ago\,
  using the three dimensional topological field theories of Reshetikhin and
  Turaev.\nIn this talk\, I will focus on the second part of this problem. 
 More specifically\, I will review the main ideas of the FRS construction a
 nd explain how generalising it to so-called finite rigid CFTs using the no
 n-semisimple 3d TFTs of De Renzi\, Gainutdinov\, Geer\, Patureau-Mirand\, 
 and Runkel. \n\nhttps://math-events.uni-bonn.de/event/1451/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1451/
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