PIRSA:20020072

Conformal geometry of random surfaces in 2D quantum gravity

Sun, X. (2020). Conformal geometry of random surfaces in 2D quantum gravity . Perimeter Institute. https://pirsa.org/20020072

Sun, Xin. Conformal geometry of random surfaces in 2D quantum gravity . Perimeter Institute, Feb. 20, 2020, https://pirsa.org/20020072 

          @misc{ pirsa_PIRSA:20020072,
            doi = {10.48660/20020072},
            url = {https://pirsa.org/20020072},
            author = {Sun, Xin},
            keywords = {Mathematical physics},
            language = {en},
            title = {Conformal geometry of random surfaces in 2D quantum gravity },
            publisher = {Perimeter Institute},
            year = {2020},
            month = {feb},
            note = {PIRSA:20020072 see, \url{https://pirsa.org}}
          }

Xin Sun Columbia University

DOI 10.48660/20020072
Collection
Talk Type Scientific Series
Subject

Abstract

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.