3:30–4:30 pm Maria Goeppert-Mayer Lecture Hall
Random geometry in two dimensions
Ewain Gwynne, University of Chicago
What is the most natural notion of a random curve in $\mathbb R^2$ without self-crossings? What about a random surface (2d Riemannian manifold)? The answers to these questions are provided by the theory of Schramm-Loewner evolution and Liouville quantum gravity, respectively. These objects have many interesting and surprising properties, as well as deep connections to other topics in math and physics such as random graphs, random permutations, statistical mechanics, string theory, and conformal field theory. I will introduce these objects and the motivations for studying them.
Event Type
Jan
26