Oliver Club

Xin SunColumbia University
Conformal geometry of random surfaces in 2D quantum gravity

Thursday, November 14, 2019 - 4:00pm
Malott 532

From a probabilistic perspective, 2D quantum gravity is the study of natural probability measures on the space of all possible geometries on a topological surface. One natural approach is to take scaling limits of discrete random surfaces. Another approach, known as Liouville quantum gravity (LQG), is via a direct description of the random metric under its conformal coordinate. In this talk, we review both approaches, featuring a joint work with N. Holden proving that uniformly sampled triangulations converge to the so called pure LQG under a certain discrete conformal embedding.

Refreshments will be served at 3:30 PM.