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Thursday, April 07, 2022
5:00 PM - 6:00 PM
Linde Hall 310

LA Probability Forum

SLE, energy duality, and foliations by Weil-Petersson quasicircles
Yilin Wang, MSRI, Berkeley,

The Loewner energy for Jordan curves first arises from the small-parameter large deviations of Schramm-Loewner evolution (SLE). It is finite if and only if the curve is a Weil-Petersson quasicircle, an interesting class of Jordan curves appearing in Teichmuller theory, geometric function theory, and string theory with currently more than 20 equivalent definitions. In this talk, I will show that the large-parameter large deviations of SLE gives rise to a new Loewner-Kufarev energy, which is dual to the Loewner energy via foliations by Weil-Petersson quasicircles and exhibits remarkable features and symmetries. Based on joint works with Morris Ang and Minjae Park (MIT) and with Fredrik Viklund (KTH).

For more information, please contact Math Dept by phone at 626-395-4335 or by email at mathinfo@caltech.edu.