Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Mercredi 14 Novembre 2018
Heure 14:00
Institut LPTHE
Salle bibliothèque du LPTHE, tour 13-14, 4eme étage
Nom de l'orateur Chelkak
Prenom de l'orateur Dmitry
Addresse email de l'orateur dchelkak [at] gmail [dot] com
Institution de l'orateur DMA, ENS
Titre S-embeddings of planar graphs carrying the Ising model
Résumé During the last decade, a number of results on conformal invariance of the critical planar Ising model were obtained, both for correlation functions and collections of interfaces. Nevertheless, in sharp contrast to random-walk based models, all these results remained limited to 'nice' lattices and interaction constants (namely, to the Z-invariant Ising model on isoradial graphs) until recently. The main purpose of this talk is to discuss a new way of embedding weighted planar graphs into the complex plane - s-embeddings - which plays the role of Tutte's barycentric embedding for the critical Ising model. The technique developed so far allows to prove the convergence of critical FK-Ising interfaces to SLE(16/3) on arbitrary periodic weighted graphs and has a clear potential for generalizations.
Numéro de preprint arXiv 1607.08467
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