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Seminars

Seminar
FIELD Math:Analysis
DATE December 08 (Wed), 2021
TIME 14:00-16:00
PLACE Online
SPEAKER Nam, Kyeongsik
HOST Kang, Nam-Gyu
INSTITUTE KAIST
TITLE Universal scaling limit of random planar maps
ABSTRACT Liouville quantum gravity (LQG) is a random fractal surface constructed from Gaussian free field (GFF), first appeared in the physics literature. LQG surface has a great importance since it describes the universal large-scale behavior of discrete random geometries. Unlike smooth two-dimensional Riemannian manifolds, LQG surfaces are too rough and possess fractal properties. In this series of talks, I will give an overview of the LQG surface and talk about its probabilistic and geometric properties.

https://us02web.zoom.us/j/86710448009?pwd=ckpVN2xXalY2b1libjJETFFVT2FrQT09

LQG metric space describes the universal scaling limit of random planar maps. I will briefly mention this connection and introduce some open problems. Based on the ongoing work with Shirshendu Ganguly.
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