Organizers: Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin Yan
Time: 10:30 am-11:30 am, Friday
Place: B627, Shuangqing Complex Building(双清综合楼B627教室), Yau Mathematical Sciences Center, Tsinghua University
双清综合楼地址:北京市海淀区逸清南路西延6号院1号,双清公寓马路对面、清华附小(双清校区)西侧。
official seminar webpage, which contains the zoom information for online talks
09/19 Sergey Oblezin (BIMSA)
Whittaker functions in representation theory, geometry and number theory
In my talk I report on an ongoing research project have been running jointly with A. Gerasimov and D. Lebedev. I present the key results and constructions restricting myself to the special case of GL(2,R). I start with introducing GL(2,R)-Whittaker function associated with a spherical principal series representation. Then I explain its role in the local Langlands correspondence and its geometric interpretation in terms of quantum cohomology of complex projective line. In the second part of my talk, I introduce the Hecke-Baxter for spherical principal series representations and its global extension for the GL(2)-Eisenstein series.
09/26 Hyun Kyu Kim (KIAS)
Frobenius homomorphisms for SL_n-skein algebras of surfaces
The $SL_n$-skein algebra $\mathscr{S}_q(S)$ of an oriented surface $S$ is a quantization of the $SL_n$-character variety of $S$. It is spanned by isotopy classes of framed links in the thickened surface $S \times (-1,1)$. When the quantum parameter $q$ is specialized at a root of unity $\omega$ (with some condition), there is a so-called Frobenius homomorphism $\mathscr{S}_1(S) \to \mathscr{S}_\omega(S)$, which can be viewed as a generalization of the Frobenius maps for quantum groups. We review its recent developments, and discuss some future directions. The talk is partially based on the joint work (arXiv:2504.08657) with Thang Lê and Zhihao Wang.
10/10 Yongchang Zhu (YMSC)
10/17 Liang Xiao (PKU)
10/24 Yun Gao (York University)
10/31 Gaston Burrull (BICMR)
11/07 Aron Heleodoro (SIMIS)
11/14
11/21
11/28 Xuanzhong Dai (RIMS)
12/05
12/12 Sian Nie (AMSS, CAS)
12/19
12/26
01/02
seminar arxiv: 2025 Spring, 2024 Fall, 2024 Spring, 2023 Fall, 2023 Spring, 2022 Fall, official page