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Mathematics Colloquium

Monday, November 20, 2023
4:00pm to 5:00pm
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Linde Hall 310
Random conformal geometry
Morris Ang, Department of Mathematics, Cornell University,

In the first half of the talk, I will introduce the central objects in random conformal geometry. Schramm-Loewner evolution (SLE) is a random planar curve describing the scaling limits of interfaces in statistical physics models (e.g. percolation, Ising model). Liouville quantum gravity (LQG) is a random 2D surface arising as the scaling limit of random planar maps. These fractal geometries have deep connections to bosonic string theory and conformal field theories. There are many powerful theorems which say that, roughly speaking, cutting LQG by independent SLE gives two independent LQG surfaces. In the second half, I present some new developments and their applications.

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