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SUMMARY:Dimer observables and Cauchy-Riemann operators - A series of six l
 ectures by Julien Dubédat
DTSTART:20160519T093000Z
DTEND:20160519T113000Z
UID:TALK66276@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:A series of six lectures by Julien Dubédat will take place be
 tween 16-20 May. For full details see webpage http://www.statslab.cam.ac.u
 k/~beresty/DimerDay/progcourse.html\n\nThe dimer model is a fundamental ex
 ample of exactly solvable planar statistical mechanics\, due to its determ
 inantal structure discovered by Kasteleyn. In the bipartite case\, it corr
 esponds to a height function which converges (in the appropriate phase) to
  the Gaussian Free Field\, as shown in pioneering work of Kenyon. In this 
 series of lectures\, we consider further aspects of the scaling limit\, th
 at are suggested by (but not derivable from) the GFF invariance principle\
 ; the main point of view is that of families of Cauchy-Riemann operators.\
 n\nOutline of lectures: Solvability and combinatorial aspects of the dimer
  model. Elements of discrete complex analysis. Singular observables and th
 eir scaling limits. Double-dimer observables and tau-functions.
LOCATION:CMS MR5
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