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SUMMARY:SPDE limits of six-vertex model - Hao Shen (University of Wisconsi
 n-Madison)
DTSTART:20181213T143000Z
DTEND:20181213T153000Z
UID:TALK115759@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The theme of the talk is deriving stochastic PDE limits as des
 cription of large-scale fluctuations of the six-vertex (6V) model in vario
 us regimes. <br>We will consider two types of 6V model: stochastic 6V and 
 symmetric 6V. <br>For stochastic 6V in a weakly asymmetric regime\, under 
 parabolic scaling the height function fluctuation converges to solution of
  KPZ equation after suitable re-centering and tilting. For symmetric 6V\, 
 in a regime where parameters are tuned into the ferroelectric/disordered p
 hase critical point\, under parabolic scaling the line density fluctuation
 s in a one-parameter family of Gibbs states converge to solution of statio
 nary stochastic Burgers. <br>Again for stochastic 6V\, in a regime where t
 he corner-shape vertex weights are tuned to zero\, under hyperbolic scalin
 g\, the height fluctuation converges to the solution of stochastic telegra
 ph equation. <br>We will discuss challenges and new techniques in the proo
 fs.<br>Based on a joint work with Ivan Corwin\, Promit Ghosal and Li-Cheng
  Tsai\, and a joint work with Li-Cheng Tsai.
LOCATION:Seminar Room 1\, Newton Institute
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