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Statut |
Confirmé |
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Série |
SEM-DARBOUX |
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Domaines |
hep-th |
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Date |
Mercredi 14 Novembre 2018 |
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Heure |
14:00 |
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Institut |
LPTHE |
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Salle |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
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Nom de l'orateur |
Chelkak |
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Prenom de l'orateur |
Dmitry |
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Addresse email de l'orateur |
dchelkak [at] gmail [dot] com |
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Institution de l'orateur |
DMA, ENS |
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Titre |
S-embeddings of planar graphs carrying the Ising model |
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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. |
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Numéro de preprint arXiv |
1607.08467 |
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Commentaires |
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Fichiers attachés |
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