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Wolff Memorial Lectures

Friday, May 3, 2024
4:00pm to 5:00pm
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Linde Hall 310
Liouville quantum gravity and SLE
Jason Miller, Statistics Laboratory, University of Cambridge,

In this talk, I will describe how Schramm-Loewner evolutions (SLE) are related to Liouville quantum gravity (LQG) surfaces as random conformal weldings and some complex analytic questions which arise. I will also describe how this representation can be used to link random planar maps with LQG. Finally, I will explain how this perspective has led to a number of new results about random planar maps, SLE, and two-dimensional statistical mechanics models.

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