Vlad Margarint, UNC Charlotte

Title: Introduction to Schramm-Loewner Evolutions theory and continuity in a natural parameter

Abstract: Schramm-Loewner Evolution (SLE) was introduced in 2000 by Oded Schramm in order to give meaning to scaling limits of interfaces of some models of Planar Statistical Physics. In the last few years, there were many models that were proven to have their interfaces in the scaling limit described by SLE. The SLE curves are studied through the Loewner Differential Equation with a Brownian motion driver. In the first part of the talk, I will introduce SLE theory. In the second part, I aim to present results of mine and collaborators on the continuity of this model in a natural parameter. If time permits, I will also touch on extensions of this model to multiple SLE curves.