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SUMMARY:The (XOR-)Ising model and the Gaussian free field
DTSTART:20260513T151500
DTEND:20260513T163000
DTSTAMP:20260916T083015Z
UID:0c43fff7de503ff835a21a540f2761b7d5e8bde17c4b68bae8eaea30
CATEGORIES:Conferences - Seminars
DESCRIPTION:Tomas Alcalde Lopez\nAbstract: We introduce a probabilistic co
 upling of several fundamental models in two-dimensional statistical mechan
 ics: a Gaussian free field\, four critical Ising fields\, and two critical
  XOR-Ising fields. Such a coupling can be seen as an extension of the boso
 nization framework of the Ising model and heavily features the theory of l
 evel sets of the Gaussian free field.\n\nWe first present the discrete cou
 nterpart of the coupling\, focusing on a new percolation-based representat
 ion of the Ising model related to double random currents. We then explain 
 how to take the joint scaling limit of all fields\, passing all the key pr
 operties of the coupling to the continuum. If time allows\, we discuss gen
 eralizations of the coupling to the Ashkin-Teller model and/or the near-cr
 itical case.\n\nBased on joint works with Lorca Heeney\, Marcin Lis and Av
 elio Sepúlveda.
LOCATION:CM 1 517
STATUS:CONFIRMED
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