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Analysis - Mathematical Physics

Cardy embedding of random planar maps

A random planar map is a canonical model for a discrete random surface which is studied in probability theory, combinatorics, mathematical physics, and geometry. Liouville quantum gravity is a canonical model for a random 2D Riemannian manifold with roots in the physics literature. In a joint work with Xin Sun, we prove a strong relationship between these two natural models for random surfaces. Namely, we prove that the random planar map converges in the scaling limit to Liouville quantum gravity under a discrete conformal embedding which we call the Cardy embedding.

Featuring

Nina Holden

Speaker Affiliation

ETH Zuerich

Affiliation

Mathematics

Event Series

Video

https://video.ias.edu/analysis/2019/1206-NinaHolden
Date & Time
December 06, 2019 | 3:304:30pm

Location

Simonyi Hall 101

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