SMS scnews item created by Georg Gottwald at Sat 26 Jul 2014 2311
Type: Seminar
Distribution: World
Expiry: 9 Aug 2014
Calendar1: 1 Aug 2014 1600-1700
CalLoc1: Carslaw 273
Auth: in SMS-auth

SDG meeting: Laurie Field -- Conformally invariant processes and the Schramm-Loewner evolution (SLE)

Dear All, 

Next week, on Friday the 1st of August, Laurie Field (Chicago) will be talking at 4pm at
USyd, Carslaw 273, on 

“Conformally invariant processes and the Schramm-Loewner evolution (SLE)" 

Abstract: Scaling limits of planar statistical mechanics models at the critical
temperature tend to be invariant under conformal transformations.  The limits of
interfaces in these models are then random, conformally invariant, non-crossing, fractal
curves.  The abundance of conformal symmetry in two dimensions allows a complete
description of the limiting curves, called SLE, which can be analysed using simple
stochastic differential equations.  I will give an introduction to the world of planar
statistical mechanics, conformal invariance and SLE.  I will also present some recent
results relating SLE to Brownian loops, estimating escape probabilities, and comparing
pinned and unpinned variants of SLE.  This is based on joint work with Greg Lawler.  

Hope to see you all there, 


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