Math Physics Seminar, Hugo Duminil, "From conformal invariance of parafermionic observables to conformal invariance of interfaces of planar random-clu
In this talk we will explain how the determination of the scaling limit of parafermionic observables can be used to deduce the conformal invariance of interfaces in planar random-cluster models with cluster-weight 1 ? Q ? 4 (1\leq Q \leq 4). The strategy was introduced in the context of the loop-erased random walk by Lawler-Schramm-Werner, and was implemented for the FK Ising model (a.k.a. the random-cluster model with cluster-weight equal to 2) by Chelkak, Duminil-Copin, Hongler, Kemppainen and Smirnov, based on a main contribution of Smirnov.
Location: PCTS Seminar Room
Date/Time: 05/20/14 at 4:30 pm - 05/20/14 at 6:00 pm
Category: Mathematical Physics Seminar