#### 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

**Department: **Physics