2020年秋Schramm Loewner Evolution讨论班

[W] Werner: Random planar curves and Schramm-Loewner evolutions https://arxiv.org/pdf/math/0303354.pdf

[M] Miller: Schramm-Loewner Evolutions http://www.statslab.cam.ac.uk/~jpm205/teaching/lent2019/sle_notes.pdf

[LC] Lawler: Conformally Invariant Processes in the Plane https://bookstore.ams.org/surv-114-s

[LS] Lawler: Schramm-Loewner Evolution https://arxiv.org/pdf/0712.3256.pdf

[BN] Berestycki & Norris: Lectures on Schramm–Loewner Evolution http://www.statslab.cam.ac.uk/~james/Lectures/sle.pdf

[Ka] Katori: Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model https://link.springer.com/book/10.1007/978-981-10-0275-5

[Kr] Krishnapur: Schramm-Loewner Evolutions http://math.iisc.ac.in/~manju/SLE/SLE%20seminar.pdf

[Wu] Wu: Conformal restriction and Brownian motion https://www.projecteuclid.org/euclid.ps/1444653628

[Be] Beffara: The dimension of the SLE curves https://projecteuclid.org/euclid.aop/1217360974https://arxiv.org/pdf/math/0211322.pdf

（暂定）安排（ [W1]指的是[W]的第一章，下同）：

Sep. 22 李欣意 介绍、初步分配任务。

[第一单元：随机分析]

Sep. 29 朱昊东 Stochastic Calculus [LC1]

Oct. 13 吴雨航 More Stochastic Calculus [LC1]

[第二单元：SLE初步]

Oct. 20 李欣意+许惟钧 Introduction [W1][LS1][M1]... + Properties of BM [LC1]

Oct. 27 彭永力 Half-Plane Capacity [W2][BN6][M5]，Koebe 1/4 Theorem (No Proof)[M4], Loewner Chains [W2]

Nov. 03 庄子杰 Introduction of SLE [W3], Schramm Principle [M7][K5.1][BN9] Dimension of SLE [LS3.3][Be][LC Appendix A]

[第三单元：SLE进阶性质]

Nov. 10 韩啸 Chordal SLE and restriction properties [W4][M10-11][BN13-14]（同时参考[Wu]）

Nov. 17 高一帆 Brownian exponents [W8]etc.. （临时调整）

Nov. 24 孔繁淏 SLE and Brownian frontier [W5] Self-avoiding walk [LS1.1]

Dec. 01 古浩田 Radial SLE [W6][LS5.1-5.3], Phases of SLE [M9][BN11][K5.2][LS3.2]

[第四单元：专题]

Dec. 08 林立聪 Critical exponents for SLE [W7][LS6]

Dec. 15 刘昱 SLE and Percolation [W10][BN13]

Dec. 22 夏傲腾 SLE UST and LERW [W9]

Dec. 29 蔡振豪 SLE and GFF [M12-13][BN15] + 孙鑫老师报告