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CALSCALE:GREGORIAN
X-WR-CALNAME: Probability Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260908T001415Z
UID:tag:localist.com\,2008:EventInstance_52737453582685
DTSTART:20260504T201500Z
DTEND:20260504T211500Z
DESCRIPTION:Speaker: Marianna Russkikh (University of Notre Dame)\n\nTitle:
  From Dimers to Maximal Surfaces in Minkowski Space R^{2\,2}\n\nAbstract: 
 \n\n \n\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 wit
 h its associated origami map. Perfect t-embeddings were recently introduce
 d as a key tool for proving convergence of the gradient of the dimer heigh
 t function to the gradient of the Gaussian Free Field in a canonically ass
 ociated metric\, under suitable technical assumptions. After introducing t
 he notion of a t-embedding\, we present examples in which explicit constru
 ctions of perfect t-embeddings are known\, and in which the corresponding 
 t-surfaces converge to space-like maximal surfaces in Minkowski space R^{2
 \,1}. As a consequence\, these constructions yield a new proof of converge
 nce of the (gradient of the) fluctuations of the dimer height function to 
 the (gradient of the) Gaussian Free Field in the conformal structure induc
 ed by the limiting maximal surface. In addition\, I will discuss a class o
 f dimer graphs for which we study t-surfaces without verifying all of the 
 assumptions required to obtain a full proof of convergence of the height f
 luctuations. Instead\, the focus will be on illustrating several interesti
 ng connections between t-surfaces and the spectral data of the correspondi
 ng dimer model.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 143
SUMMARY: Probability Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/probability-seminar-Marianna-R
 usskikh
CATEGORIES:Conferences/Seminars/Lectures
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