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UID:9002@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260130T160000
DTEND;TZID=Europe/Paris:20260130T170000
DTSTAMP:20260126T203223Z
URL:https://www.i2m.univ-amu.fr/evenements/liouville-theory/
SUMMARY:Rémi Rhodes (I2M): Liouville Theory
DESCRIPTION:Rémi Rhodes: The study of second-order phase transitions in tw
 o-dimensional statistical physics models led\, in the 1980s\, to the emerg
 ence of conformal field theories (CFT). The development of the conformal b
 ootstrap in physics brought remarkable advances in the understanding and s
 olution of these theories. However\, a rigorous mathematical construction 
 of CFTs and a complete implementation of the bootstrap program remain majo
 r open challenges.\nOver the past twenty years\, the probabilistic approac
 h to a specific CFT\, the Liouville theory\, has achieved important progre
 ss. It has not only provided a mathematical construction of the model and 
 a full bootstrap solution\, but also made explicit the various structural 
 components expected of a field theory and their interplay: path integral f
 ormulation\, Segal functoriality\, state–field correspondence\, represen
 tation of the symmetry algebra on a Hilbert space\, and the Operator Produ
 ct Expansion (OPE).\nLiouville theory thus stands as a genuine case study 
 for understanding the mathematical structure of conformal field theories.\
 nThe aim of this talk is to show how these concepts are organized and inte
 ract within the framework of Liouville theory.
CATEGORIES:Colloquium
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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