Time: February 18, 2025 — June 26, 2025
Location: Jingchunyuan 78, BICMR
Quantum field theory (QFT) has had a profound impact on nearly all areas of mathematics, and remains a compelling challenge and source of inspiration for mathematicians. Due to the recent probabilistic revolution, including random geometry, conformal field theory, and SPDE, we believe that probability will play a key role in the future development of QFT. Within this in mind, our learning seminar will be centered around two types of topics:
1.Recent probabilistic development related to QFT, such as conformal field theory and gauge theory.
2.Other mathematical areas related to QFT, such as complex analysis and quantum topology.
We plan to meet once or twice a week, between 10am-noon on Tuesday and Thursday. Our first meeting will be held on February 18 in Room 77201, 78 Jing Chun Yuan (See Seminar Syllabus for more detail). In the first half of the semester, with a few exceptions, we will interact with visitors related to either Topic 1 or 2 above. The meeting could be a formal minicourse, a talk, or an informal discussion. In the second half, we mainly have student presentations on Topic 1 or 2, where the precise topic is chosen in the first half of the semester.
Detailed information about the seminar will be updated on the website as they become available. If you are outside PKU but interested in attending, please send me an email (xinsun@bicmr.pku.edu.cn) with a short introduction of yourself.
If the speaker allows, we will make the session available remotely via tencent meeting.
Tencent Meeting ID:811-4397-4394
https://meeting.tencent.com/dm/D4silmiPVHeU
If you are a student and plan to learn some topics systematically and present in the seminar, or if you are an expert on Topic 1 or 2 and interested in visiting us, please send me an email as well. If we run out of spots this semester we will continue to the next one.
Feb 18 Gefei Cai, 10am-noon, Location: 77201. (Tencent Meeting available)
Uniqueness of generalized conformal restriction measures and Malliavin-Kontsevich-Suhov measures for c∈(0,1]
Feb 20 10am-noon, Location: 78301.
a) Continuation of Gefei Cai's talk from Feb 18, (Tencent Meeting available)
b) Discussion session with Xin Sun about possible topics to present
Feb 25 No morning session. Mathematical Physics Seminar by Harini Desiraju at 2pm.
Title: Probabilistic conformal blocks on the torus and the Lamé equation
Feb 27 10am-noon, Location: 78301.
Discussion session with Harini Desiraju (Sydney)
Mar 4, No morning session. Mathematical Physics Seminar by Jie Gu at 2pm.
Title: Resurgent structure in complex Chern-Simons theory I: Non-abelian flat connections
Mar 6 Lecture by Jie Gu, followed by discussion. Location: 全斋 29
Title: Resurgent structure in complex Chern-Simons theory II: BPS interpretation, abelian flat connections
(probability seminar by Hao Shen on Mar 10, 2pm, Langevin dynamics of lattice Yang-Mills)
Mar 11 10am-noon: Discussion session with Hao Shen. Location 77201
Mar 11 4-5pm, Colloquium by Hao Shen, Stochastic quantization of Yang-Mills
Mar 13 10am-noon: Presentation by Yaosong Yang.
Location 78301 On the work of Teo-Takhtajan, Yilin Wang and Viklund-Wang
Antti Kupiainen: Probabilistic Conformal Field Theory
Mar 17 1:30-2:30pm, Lecture 1,77201.
Mar 18 10am-noon, Lecture 2,77201.
Mar 20 10am-noon, Lecture 3,77201.
(Mathematical Physics Seminar by Zhituo Wang at Mar 18, 2pm,
Construction Renormalization of the two dimensional Grosse-Wulkenhaar model)
Mar 25 10am-noon. Discussion Session with Antti Kupiainen. Location 77201
(Mar 25 4-5pm, Distinguished lecture by Antti Kupiainen on WZW model.)
Mar 27 10am-noon, Presentation by Tianyue Liu. Location 78301
On moduli spaces related to Yang-Mills and other QFT
Mini course by Nathanael Berestycki
Near-critical dimers, massive SLE and sine-Gordon field
Apr 1 10 am-noon, Lecture 1, Location: 77201.
Apr 3 10 am-noon, Lecture 2, Location:全29