Abstract:
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.
Biography:
Nina Holden is a Junior Fellow at ETH Institute for Theoretical Studies in Zurich, where her mentor is Wendelin Werner. She completed her Ph.D. at MIT in 2018 under the supervision of Scott Sheffield. She has done research on topics such as Schramm-Loewner evolutions, Liouville quantum gravity, random planar maps, statistical mechanics, and the trace reconstruction problem.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai