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SUMMARY:Universality of fluctuation of the dimer model
DTSTART;VALUE=DATE-TIME:20171031T153000Z
DTEND;VALUE=DATE-TIME:20171031T163000Z
DTSTAMP;VALUE=DATE-TIME:20210727T022853Z
UID:indico-event-2902@indico.math.cnrs.fr
DESCRIPTION:The dimer model is a model of perfect matching whose popularit
y stems from the fact that it is exactly solvable. It is believed that the
large-scale fluctuations of the height function of the dimer model is uni
versal in a certain sense and should not depend on the microscopic propert
ies of the graph. It turns out that in this level of generality\, the well
-established methods using Kasteleyn matrices become intractable.\n\n \n\
n We propose a new method for examining the fluctuation of the height fun
ction which enables us to obtain a universality result for general graphs
with various boundary conditions and even when the underlying surface is a
Riemann surface. This provides a new proof of some old results and solves
several open questions. Our methods use exact solvability in a weak sense
and use some new results in the continuum instead which enables us to get
universal results.\n\n \n\nOngoing joint work with Nathanael Berestycki
and Benoit Laslier.\n\nhttps://indico.math.cnrs.fr/event/2902/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/2902/
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