Cardy embedding of uniform triangulations

Vortrag von Dr. Nina Holden

Datum: 03.10.18  Zeit: 17.15 - 18.15  Raum: ETH HG G 43

A uniformly sampled triangulation is a canonical model for a discrete random surface. The Cardy embedding is a discrete conformal embedding of triangulations which is based on percolation observables. We present a series of works in progress where we prove convergence of uniform triangulations to the continuum random surface known as Liouville quantum gravity under the Cardy embedding. The project is a collaboration with Xin Sun, and is also based on our joint works with Bernardi, Garban, Gwynne, Lawler, Li, and Sepulveda.