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DTSTAMP:20260404T064149Z
UID:1652283900@ist.ac.at
DTSTART:20220511T174500
DTEND:20220511T190000
DESCRIPTION:Speaker: Antti-Jukka Kupiainen\nhosted by M. Beiglböck\, N. Be
 restycki\, L. Erdös\, J. Maas\, F. Toninelli\nAbstract: Liouville Confor
 mal Field Theory (LCFT)  is a theory of random fields on two dimensional 
 surfaces that plays a fundamental role in 2d random surface theory and man
 y other fields in physics and mathematics. The correlation functions of LC
 FT random fields have expressions in terms of the Gaussian Free Field  an
 d Gaussian  Multiplicative Chaos and can be shown to satisfy the axioms o
 f Conformal Field Theory. Conformal Field Theories (CFT) are believed to b
 e exactly solvable once their  3-point functions are known. I will review
  recent work where this conformal bootstrap program is rigorously carried 
 out for the LCFT formulated on an arbitrary Riemann surface. The solution 
 can be seen as a "quantization" of the plumbing construction of surfaces w
 ith marked points axiomatically discussed earlier by Graeme Segal. Joint w
 ork with Colin Guillarmou\, Remi Rhodes and Vincent Vargas.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Antti-Jukka Kupiainen: Probabilistic Liouville Theory
URL:https://talks-calendar.ista.ac.at/events/3540
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