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SUMMARY:The Near-critical Dimer Model and the Sine-Gordon Field
DTSTART:20251210T104500Z
DTEND:20251210T114500Z
DTSTAMP:20260425T224200Z
UID:indico-event-15133@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Lucas Rey (CEREMADE\, Univ. Paris-Dauphine & DMA\, E
 NS)\n\nSeed Seminar of Mathematics and Physics\nFall' 25: Random Forests a
 nd Fermionic Field Theories \nThe study of critical models is of the more
  active areas of statistical mechanics. Regarding the dimer model\, the co
 nvergence of the critical model towards the Gaussian free field was obtain
 ed around 25 years ago by Kenyon. More recently\, perturbations of the cri
 tical model known as near-critical models have been considered\, and some 
 convergence results have been obtained\, in particular for the Ising model
 . Convergence results have also been obtained for the near-critical dimer 
 model\, which did not allow to identify the limiting field\, even though i
 t was conjectured to be the sine-Gordon field. I will present a derivation
  of the limit using discrete massive holomorphy techniques\, which express
 es the limiting field as the solution of a certain Dirichlet problem assoc
 iated with a massive Dirac operator. I will finally explain how to relate 
 this field to the sine-Gordon field. This is based on an ongoing work with
  Nathanaël Berestycki and Scott Mason.\n========\nPour être informé des
  prochains séminaires vous pouvez vous abonner à la liste de diffusion e
 n écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscr
 ibe seminaire_mathematique PRENOM NOM"(indiquez vos propres prénom et nom
 ) et laissez le corps du message vide.\n\nhttps://indico.math.cnrs.fr/even
 t/15133/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15133/
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