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SUMMARY:The Schramm-Loewner Evolution and the Gaussian Free Field - Dr Jas
 on Miller\, MIT
DTSTART:20121106T150000Z
DTEND:20121106T160000Z
UID:TALK39831@talks.cam.ac.uk
CONTACT:CCA
DESCRIPTION:The Schramm-Loewner evolution (SLE) is the canonical model of 
 a non-crossing conformally invariant random curve\, introduced by Oded Sch
 ramm in 1999 as a candidate for the scaling limit of loop erased random wa
 lk and the interfaces in critical percolation. The development of SLE has 
 been one of the most exciting areas in probability over the last decade be
 cause Schramm's curves have now been rigorously shown to describe the limi
 ting interfaces of a number of different two-dimensional models from stati
 stical mechanics. Work on this topic has so far led to two Fields medals (
 Werner\, 2006 and Smirnov\, 2010). \nThe first part of this talk will be a
  basic introduction to SLE. In the second part of the talk\, I will descri
 be the work of Sheffield\, Schramm-Sheffield\, and Dubédat on how SLEs ar
 e related to a certain random geometry which is generated by the GFF. Name
 ly\, SLE can be realized as the flow lines of the random vector field eih/
 x where h is a GFF and x > 0.
LOCATION:MR2
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