Title: Large deviation principles of Schramm-Loewner evolutions
Speaker: Yilin Wang (Massachusetts Institute of Technology)
Time: 9:00-10:30 am. Aug. 3rd / 5th/ 10th/ 12th

Abstract: The theory of large deviations (LDP) concerns the asymptotic behavior of the probability of rare events under a sequence of probability measures. Schramm-Loewner evolution (SLE) is a one-parameter family of random fractal non-self-crossing curves that arise naturally as interfaces in two-dimensional conformally invariant systems. After explaining the basic ideas and results on LDP and SLE, we describe the large deviations of SLE in two regimes: when the parameter goes to 0 and to infinity. The rate functions of these LDPs are interesting in their own, especially from the point of view of geometric function theory. The LDPs of SLEs then allow us to derive several new results in geometric function theory, by giving probabilistic interpretation to deterministic objects.

Aug. 3rd.
Tencent meeting ID: 382 712 091
Zoom ID: 683 926 47011 (Password: 583699)
Aug. 5th.
Tencent meeting ID: 140 192 150
Zoom ID: 694 678 95296 (Password: 758495)
Aug. 10th.
Tencent meeting ID: 175 211 271
Zoom ID: 613 257 16599 (Password: 352330)
Aug. 12th.
Tencent meeting: 196 507 842
Zoom ID: 648 833 71630 (Password: 149231)