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SUMMARY:Bootstrap Hypothesis – From Algebraic Point of View
DTSTART:20230620T120000Z
DTEND:20230620T130000Z
DTSTAMP:20260505T060200Z
UID:indico-event-10039@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Yuto Moriwaki (RIKEN & IHES)\n\nANNULÉ ET REPORTÉI
 n this talk we will revisit the bootstrap hypothesis in the two-dimensiona
 l case from a mathematical perspective. The bootstrap equations is a cons
 istency for the CFT four-point correlation functions. Therefore\, the foll
 owing question is not mathematically clear: (Math Question) If the four-p
 oint correlation functions satisfy the bootstrap equations\, can we define
  a multi-point correlation functions? (Is it convergent and consistent?) 
 After introducing the notion of a full vertex algebra\, which is equivalen
 t to the fact that the four-point correlation functions satisfy the bootst
 rap equations\, we will explain that all n-point correlation functions con
 verge and are consistent when the full vertex algebra satisfies certain fi
 niteness. An crucial step in the proof is to show that the operad of confi
 guration spaces acts on representations of the full vertex algebra (under 
 the finiteness assumption). We will explain this idea in detail. Pour ê
 tre informé des prochains séminaires vous pouvez vous abonner à la list
 e de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comm
 e sujet: "subscribe seminaire_physique PRENOM NOM"(indiquez vos propres pr
 énom et nom) et laissez le corps du message vide.\n\nhttps://indico.math.
 cnrs.fr/event/10039/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/10039/
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