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