Jian Ding, Julien Dubedat, Ewain Gwynne: The Liouville quantum gravity metric

Liouville quantum gravity (LQG) is a canonical one-parameter family of random fractal surfaces. Recent works have shown that one can endow an LQG surface with a metric (distance function). We will discuss the construction of this metric, some of its properties, and some open problems.
Slides: www.mathunion....