 CARMA COLLOQUIUM
 Speaker: Michael Kozdron, Department of Mathematics & Statistics , University of Regina
 Title: A Random Look at the SchrammLoewner Evolution
 Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 4:30 pm, Thu, 7^{th} Apr 2011
 Please note the variation from our usual colloquium time.
 Abstract:
The stochastic Loewner evolution (SLE) is a oneparameter family of random
growth processes in the complex plane introduced by the late Oded Schramm in
1999 which is predicted to describe the scaling limit of a variety of
statistical physics models. Recently a number of rigorous results about such
scaling limits have been established; in fact, Wendelin Werner was awarded the
Fields Medal in 2006 for "his contributions to the development of stochastic
Loewner evolution, the geometry of twodimensional Brownian motion, and
conformal field theory" and Stas Smirnov was awarded the Fields Medal in 2010
"for the proof of conformal invariance of percolation and the planar Ising
model in statistical physics." In this talk, I will introduce some of these
models including the Ising model, selfavoiding walk, looperased random walk,
and percolation. I will then discuss SLE, describe some of its basic
properties, and touch on the results of Werner and Smirnov as well as some of
the major open problems in the area. This talk will be "colloquium style" and
is intended for a general mathematics audience.
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