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**Video URL**
http://pirsa.org/21010006

## Abstract

A planar map is a canonical model for a discrete surface which is studied in probability theory, combinatorics, theoretical physics, and geometry. Liouville quantum gravity provides a natural model for a continuum random surface with roots in string theory and conformal field theory. After introducing these objects, I will present a joint work with Xin Sun where we prove convergence of random planar maps to a Liouville quantum gravity surface under a discrete conformal embedding which we call the Cardy embedding.

## Details

**Talk Number**21010006

**Speaker Profile**Nina Holden

**Collection**Colloquium

- Other Physics

**Scientific Area**

- Scientific Series

**Talk Type**

**Subject**Physics

**Source Repository**PIRSA