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SUMMARY:Recursion Relations for Conformal Blocks in Four Dimensions
DTSTART:20260505T130000Z
DTEND:20260505T140000Z
DTSTAMP:20260513T042800Z
UID:indico-event-16346@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Petr Kravchuk (King's College London & IHES)\n\nMost
  modern algorithms for computation of conformal blocks in numerical bootst
 rap applications are based on Zamolodchikov-like recursion relations. Thes
 e relations come from the idea that conformal blocks have poles in the exc
 hanged scaling dimension\, associated to appearance of null states in the 
 corresponding parabolic Verma module. In odd dimensions the pole is simple
 \, the residue is another conformal block\, and the recursion relation is 
 well understood. However\, in even dimensions double poles can appear\, an
 d the structure of the recursion relation is an open problem. In this talk
 \, I will describe the surprisingly subtle solution of this problem in fou
 r dimensions. In particular\, I will explain that the natural setting for 
 this question is the principal block of the deformed parabolic BGG categor
 y O\, which can be efficiently studied using Morita theory.  Based on wor
 k in progress with Colum Flynn.\n \nPour être informé des prochains sé
 minaires vous pouvez vous abonner à la liste de diffusion en écrivant un
  mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe seminaire_
 physique PRENOM NOM"(indiquez vos propres prénom et nom) et laissez le co
 rps du message vide.\n\nhttps://indico.math.cnrs.fr/event/16346/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/16346/
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