学术报告（黄逸超 8.29-9.7）

讲座时间、地址安排：

8月29日 15:00-17:00 数学楼415

8月30日15:00-17:00  数学楼406

8月31日15:00-17:00数学楼403

9月5 日 15:00-17:00数学楼415

9月 6日 15:00-17:00数学楼406

9月7日 15:00-17:00数学楼403

摘要：This mini-course serves as a gentle introduction to the theory of Gaussian free field (in dimension 2) and the theory of Gaussian multiplicative chaos. While these subjects are essential in many different aspects in probability and mathematical physics, our main focus will be their connections to conformally invariant models and quantum field theories.

Prerequisite: knowledge/experience with Brownian motion.

Part I: Gaussian free field

[2023.08.29] Definition and basic properties

[2023.08.30] Conformal invariance and domain Markov properties

[2023.08.31] Determinant of Laplacian

Part II: Gaussian multiplicative chaos

[2023.09.05] Definition and basic properties

[2023.09.06] Multifractal analysis and moment bounds

[2023.09.07] Connection to Liouville conformal field theory