[grads] [Sem-coll] Applied Math Colloquium/Stochastics and Computation Seminar, Monday, March 19, 4:40pm Gregory Lawler

[Robert Ellis]

Please join us for the following colloquium which is joint with the 
Stochastics and Computation seminar series. Coffee and snacks will be 
served 5-10 minutes prior.

Monday, Mar 19, 4:40pm E1 106

Speaker: Gregory Lawler (University of Chicago)
Title: "Conformal Invariance and Two-Dimensional Statistical Physics"

Abstract
A number of lattice models in two-dimensional statistical physics are 
conjectured to exhibit conformal invariance in the scaling limit at 
criticality. In this talk, I will try to explain what the previous 
sentence means, focusing on three elementary examples: simple random walk, 
self-avoiding walk, loop-erased random walk, percolation, Ising model I 
will describe the limit objects, Schramm-Loewner Evolution (SLE), the 
Brownian loop measure, and the normalized partition functions, and show 
how conformal invariance can be used to calculate quantities ("critical 
exponents") for the model. I will also describe why (in some sense) there 
is only a one-parameter family of conformally invariant limits. In 
conformal field theory, this family is parametrized by central charge.

Much of the talk will be based on joint work with Oded Schramm and 
Wendelin Werner although I will mention work by a number of different 
researchers.
_______________________________________________
sem-coll mailing list
sem-coll at math.iit.edu
http://math.iit.edu/mailman/listinfo/sem-coll