EVENT DETAILS AND ABSTRACT

Title: Random surfaces and Liouville quantum gravity
Speaker: Ewain Gwynne
Speaker Info: Cambridge University
Brief Description:
Special Note:
Abstract:

Liouville quantum gravity (LQG) is a family of random fractal surfaces which were originally introduced in the physics literature as canonical models of random two-dimensional Riemannian manifolds. LQG surfaces are the continuum limits of discrete random surfaces called random planar maps. We discuss the definition of random planar maps and Liouville quantum gravity, the sense in which the former converges to the latter, and the motivations for studying these objects. We also mention several open problems.