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CATEGORIES: Dimer observables and Cauchy-Riemann operators
SUMMARY:Dimer observables and Cauchy-Riemann operators - A
series of six lectures by Julien Dubédat
DTSTART;TZID=Europe/London:20160519T103000
DTEND;TZID=Europe/London:20160519T123000
UID:TALK66276AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/66276
DESCRIPTION:A series of six lectures by Julien Dubédat will ta
ke place between 16-20 May. For full details see w
ebpage http://www.statslab.cam.ac.uk/~beresty/Dime
rDay/progcourse.html\n\nThe dimer model is a funda
mental example of exactly solvable planar statisti
cal mechanics\, due to its determinantal structure
discovered by Kasteleyn. In the bipartite case\,
it corresponds to a height function which converge
s (in the appropriate phase) to the Gaussian Free
Field\, as shown in pioneering work of Kenyon. In
this series of lectures\, we consider further aspe
cts of the scaling limit\, that are suggested by (
but not derivable from) the GFF invariance princip
le\; the main point of view is that of families of
Cauchy-Riemann operators.\n\nOutline of lectures:
Solvability and combinatorial aspects of the dime
r model. Elements of discrete complex analysis. Si
ngular observables and their scaling limits. Doubl
e-dimer observables and tau-functions.
LOCATION:CMS MR5
CONTACT:Berestycki
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