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SUMMARY:From Dimers to Maximal Surfaces in Minkowski Space R^{2\,1}
DTSTART:20261007T150000
DTSTAMP:20261002T214913Z
UID:fbcb15d8a379c3f43f20e415bc43d48349b78646cb765cfe0d8a9993
CATEGORIES:Conferences - Seminars
DESCRIPTION:Marianna Russkikh\nWe discuss a class of graph embeddings into
  Minkowski space R^{2\,2} = C^{1\,1}\, called t-surfaces\, which arise in 
 the study of the planar dimer model. A t-surface consists of a (perfect) t
 -embedding together with its associated origami map. Perfect t-embeddings 
 were recently introduced as a key tool for proving that the gradient of th
 e dimer height function converges to that of the Gaussian Free Field in a 
 canonically associated metric\, under suitable technical assumptions. Afte
 r introducing the notion of a t-embedding\, we will describe a constructio
 n of perfect t-embeddings for regular hexagons of the hexagonal lattice. I
 n which the corresponding t-surfaces converge to space-like maximal surfac
 es in Minkowski space R^{2\,1}. As a consequence\, these constructions yie
 ld a new proof of convergence of fluctuations of the dimer height function
  to the Gaussian Free Field in the conformal structure induced by the limi
 ting maximal surface.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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