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LA Probability Forum

Thursday, December 1, 2022
4:00pm to 5:00pm
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Two types of integrability in Liouville quantum gravity
Xin Sun, Department of Mathematics, University of Pennsylvania,

Talk held at USC Kaprelian (KAP) 414

There are two major resources of integrability in Liouville quantum gravity: conformal field theory and random planar maps decorated with statistical physics models. I will give a few examples of each type and explain how these two types are compatible. Recently, cutting and gluing random surfaces in LQG using SLE curves allows us to blend these two types of integrability to obtain exact results on Liouville conformal field theory, mating of trees, Schramm-Loewner evolution, and conformal loop ensemble. I will present a few results in this direction. Based on joint works with Morris Ang, Nina Holden and Guillaume Remy.

For more information, please contact Math Dept by phone at 626-395-4335 or by email at [email protected].