BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:SPDE limits of six-vertex model - Hao Shen (Univer
sity of Wisconsin-Madison)
DTSTART;TZID=Europe/London:20181213T143000
DTEND;TZID=Europe/London:20181213T153000
UID:TALK115759AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/115759
DESCRIPTION:The theme of the talk is deriving stochastic PDE l
imits as description of large-scale fluctuations o
f the six-vertex (6V) model in various regimes. ** We will consider two types of 6V model: stochas
tic 6V and symmetric 6V. **

For stochastic 6V in
a weakly asymmetric regime\, under parabolic scal
ing the height function fluctuation converges to s
olution of KPZ equation after suitable re-centerin
g and tilting. For symmetric 6V\, in a regime wher
e parameters are tuned into the ferroelectric/diso
rdered phase critical point\, under parabolic scal
ing the line density fluctuations in a one-paramet
er family of Gibbs states converge to solution of
stationary stochastic Burgers.

Again for stoc
hastic 6V\, in a regime where the corner-shape ver
tex weights are tuned to zero\, under hyperbolic s
caling\, the height fluctuation converges to the s
olution of stochastic telegraph equation.

We
will discuss challenges and new techniques in the
proofs.

Based on a joint work with Ivan Corwin
\, Promit Ghosal and Li-Cheng Tsai\, and a joint w
ork with Li-Cheng Tsai.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
END:VEVENT
END:VCALENDAR