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王艺霖 博士:From Schramm-Loewner evolutions to Weil-Petersson quasicircles（II）

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 王艺霖 博士，Massachusetts Institute of Technology
Inviter:
Title:
 From Schramm-Loewner evolutions to Weil-Petersson quasicircles（II）
Time & Venue:
 2021.09.16 09:00-11:00 腾讯会议：161 199 555
Abstract:
 In this lecture, I will show how ideas from random conformal geometry inspire many new results for Weil-Petersson quasicircles. As a notable example, we introduce another Loewner-Kufarev energy, a quantity defined for measures on the cylinder $S^1 \times \mathbb R$ which arises in the context of large deviations of SLEs when the parameter goes to infinity. Through the SLE duality we speculate a duality between Loewner and Loewner-Kufarev energies. We prove this duality using only deterministic analytic tools and show that the Loewner-Kufarev chain driven by a finite LK-energy measure generates a foliation whose leaves are all Weil-Petersson quasicircles. This is a joint work with Fredrik Viklund (KTH).

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