UBC Probability Seminar: Nina Holden (Online)

The Schramm-Loewner evolution (SLE) is a random fractal curve in the plane that describes the scaling limit of interfaces in several statistical physics models. It is uniquely characterized by two properties known as conformal invariance and the domain Markov property. The third lecture will be about imaginary geometry which gives a very useful alternative perspective on SLE. Prerequisities: The course will require no prior knowledge except standard graduate probability courses. We will use small amount of stochastic calculus on a few occasions.