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Caltech-Tsinghua Joint Colloquium

Tuesday, April 2, 2024
5:00pm to 6:00pm
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Online and In-Person Event
Minimal surfaces, representation theory and random permutations
Antoine Song, Department of Mathematics, Caltech,

387 Linde Hall

Minimal surfaces are surfaces which locally minimize the area. They form a class of "optimal geometries" which appear in a multitude of situations in differential geometry. I will talk about my recent effort in studying the geometry of unitary representations using minimal surfaces. This investigation leads to a surprising connection between minimal surfaces, the hyperbolic plane and random matrices: there exists a sequence of closed minimal surfaces in Euclidean spheres, constructed from random permutations, which converges to the hyperbolic plane. After introducing and explaining this phenomenon, I will mention some general questions.

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