BEGIN:VCALENDAR
PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20211105T130322Z
DTSTART:20211110T150000Z
DTEND:20211110T160000Z
SUMMARY:Hao Wu - Crossing probabilities in 2D critical lattice models
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}frg-kvme235
p-gft9yg
DESCRIPTION:Hao Wu (Tsinghua University) will speak in the Probability se
minar. \n\nConformal invariance of critical lattice models in two-dimens
ional has been vigorously studied for decades. The first example where t
he conformal invariance was rigorously verified was the planar uniform s
panning tree (together with loop-erased random walk)\, proved by Lawler\
, Schramm and Werner in 2004. Later\, the conformal invariance was also
verified for Bernoulli percolation (Smirnov 2001)\, level lines of Gauss
ian free field (Schramm-Sheffield 2009)\, and Ising model and FK-Ising m
odel (Chelkak-Smirnov et al 2012). In this talk\, we focus on crossing p
robabilities of these critical lattice models in polygons with alternati
ng boundary conditions. \n \nThe talk has two parts. In the first part\,
we consider critical Ising model and give crossing probabilities of mul
tiple interfaces in the critical Ising model in polygon with alternating
boundary conditions. Similar formulas also hold for other models\, for
instance level lines of Gaussian free field and Bernoulli percolation. H
owever\, the situation is different when one considers uniform spanning
tree. In the second part\, we discuss uniform spanning tree and explain
the corresponding results.\n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:https://zoom.us/j/97200455451
END:VEVENT
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