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PIRSA:21010006

Video URL

https://pirsa.org/21010006

Conformal embedding of random planar maps

Holden, N. (2021). Conformal embedding of random planar maps. Perimeter Institute for Theoretical Physics. https://pirsa.org/21010006

Nina Holden ETH Zurich

Talk numberPIRSA:21010006
DOI10.48660/21010006
Source RepositoryPIRSA
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Talk Type Scientific Series
Subject

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.