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DTSTART:20180325T030000
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DTSTART:20181028T020000
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DTSTAMP:20220817T004417Z
UID:59c8cedc49a34831844563@ist.ac.at
DTSTART:20181009T160000
DTEND:20181009T180000
DESCRIPTION:Speaker: Nathanael Berestycki\nhosted by Laszlo ErdÃ¶s\nAbstrac
t: The dimer model on a finite bipartite graph is a uniformly chosen perfe
ct matching\, i.e.\, a set of edges which cover every vertex exactly once.
It is a classical model of mathematical physics\, going back to work of K
asteleyn and Temeperley/Fisher in the 1960s.A central object for the dimer
model is a notion of height function introduced by Thurston\, which turns
the dimer model into a random discrete surface. I will discuss a series o
f recent results with Benoit Laslier (Paris) and Gourab Ray (Victoria) whe
re we establish the convergence of the height function to a scaling limit
in a variety of situations. This includes simply connected domains of the
plane with linear boundary conditions for the height\, in which case the l
imit is the Gaussian free field\, and Temperleyan graphs drawn on Riemann
surfaces. In all these cases the scaling limit is universal (i.e.\, indepe
ndent of the details of the graph) and conformally invariant. A key new id
ea in our approach is to exploit "imaginary geometry" couplings between th
e Gaussian free field and SLE curves
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Nathanael Berestycki: Dimers and Imaginary Geometry
URL:https://talks-calendar.app.ist.ac.at/events/1399
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