Conformal geometry of random surfaces in 2D quantum gravity
PIRSA ID:
20020072
Série :
Mathematical Series
Event Type:
Seminar
Domaine(s) scientifique(s) :
Mathematical Physics
Date de fin :
Speaker(s):
- Xin Sun, Columbia University
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.