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TZID:Europe/Paris
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UID:8607@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250325T143000
DTEND;TZID=Europe/Paris:20250325T153000
DTSTAMP:20250312T170402Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-125/
SUMMARY:Baptiste CERCLÉ (École polytechnique fédérale de Lausanne): W-a
 lgebras\, Gaussian Free Fields and Selberg integrals arising from the Mukh
 in-Varchenko conjecture
DESCRIPTION:Baptiste CERCLÉ: Two-dimensional Conformal Field Theory (CFT) 
 is a research topic that has attracted a lot of attention\nin both the phy
 sics and mathematics community since its inception by Belavin-Polyakov-Zam
 olodchikov in 1984.\nHowever answering the seemingly simple question “Wh
 at is a Conformal Field Theory?”\nis not as simple as it seems and many 
 different approaches have been developed to address this issue\,\nranging 
 from probability to representation theory\, conformal geometry or Vertex O
 perator Algebras.\n\nIn this talk we will discuss a few connections betwee
 n some of these different perspectives:\nnamely we will explain to what ex
 tent the probabilistic approach to CFT\nbased on the consideration of Gaus
 sian Free Fields\nis equivalent to the more algebraicviewpoint of Vertex O
 perator Algebras.\nBased on this correspondence we will describe how to tr
 anslate\nresults stemming from representation theory of W-algebras\ninto a
 ctual statements for Selberg and Dotsenko-Fateev type integrals\,\nprovidi
 ng a systematic method to address the Mukhin-Varchenko conjecture.\n
CATEGORIES:Séminaire,Probabilités
LOCATION:Saint-Charles - FRUMAM (3ème étage)\, 3\, place Victor Hugo\, Ma
 rseille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3\, place Victor Hugo\, Mar
 seille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM 
 (3ème étage):geo:0,0
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DTSTART:20241027T020000
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