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DTSTART:20260329T030000
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DTSTAMP:20260424T143007Z
UID:68ff3eb65edd6458399781@ist.ac.at
DTSTART:20251103T170000
DTEND:20251103T180000
DESCRIPTION:Speaker: Rémi Rhodes\nhosted by Laszlo Erdös & Jan Maas\nAbst
 ract: The study of second-order phase transitions in two-dimensional stati
 stical physics models led\, in the 1980s\, to the emergence of conformal f
 ield theories (CFT). The development of the conformal bootstrap in physics
  brought remarkable advances in the understanding and solution of these th
 eories. However\, a rigorous mathematical construction of CFTs and a compl
 ete implementation of the bootstrap program remain major open challenges.O
 ver the past twenty years\, the probabilistic approach to Liouville confor
 mal field theory (LCFT) has achieved important progress. It has not only p
 rovided a mathematical construction of the model and a full bootstrap solu
 tion\, but also made explicit the various structural components expected o
 f a field theory and their interplay: path integral formulation\, Segal fu
 nctoriality\, statefield correspondence\, representation of the symmetry a
 lgebra on a Hilbert space\, and the Operator Product Expansion (OPE).Liouv
 ille theory thus stands as a genuine case study for understanding the math
 ematical structure of conformal field theories.The aim of this talk is the
 refore to show how these concepts are organized and interact within the fr
 amework of Liouville theory.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Rémi Rhodes: Liouville Theory
URL:https://talks-calendar.ista.ac.at/events/6100
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