Gregory F. Lawler
Chicago
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 explain what the previous sentence means focusing on a number of 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 soup, and the normalized partition functions, and show how conformal invariance can be used to understand the discrete models.
Friday, April 20
4:30 p.m., 312 Math.
Tea will be served at
3:45 p.m. -
508 Mathematics
Building
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