The seminar will meet at 4:00–5:00 pm, Wednesday (almost) every week during semesters, in the lecture room of IASM (East 7 Bldg, Zijingang Campus), unless otherwise noted. The seminar is organized by the NT&RT Group at Zhejiang University.
Here are the past talks.
Click on a title to reveal its abstract.
Schedule (2025–26 Fall)
Sep 3
- Speaker: Yihang Zhu 朱艺航 (Tsinghua University 清华大学)
- Title:
Towards local Langlands–Kottwitz method
- The Langlands–Kottwitz method seeks to express Frobenius-Hecke traces on the cohomology of Shimura varieties in terms of objects in local Harmonic analysis, namely orbital and twisted orbital integrals. We present a local analogue of that, relating the cohomology of some local Shimura varieties with twisted orbital integrals. The discrete summation over Kottwitz triples in the global case is replaced by an integral over semi-simple conjugacy classes. As application, we explain a new point of view towards Rapoport's conjecture on the vanishing of certain twisted orbital integrals, which is a key ingredient in the global Langlands–Kottwitz method for a non-quasi-split prime. This is joint work with Rong Zhou.
Sep 17
- Speaker: Alfio Fabio La Rosa (Zhejiang University 浙江大学)
- Title:
Arithmetic applications of the trace formula
- A conjecture of K. Buzzard and T. Gee posits that certain properties of the infinitesimal character of the Archimedean component of an automorphic representation translate into arithmetic properties of its non-Archimedean component. In particular, it is conjectured that C-algebraic automorphic representations are C-arithmetic. All the known cases rely on the existence of geometric models for the representation in question, but many C-algebraic representations do not admit such realisations. The main purpose of this talk is to propose to investigate the conjecture through the trace formula: I will present a non-geometric proof that cuspidal automorphic representations which are regular discrete series at infinity are C-arithmetic. I will conclude by discussing how the conjecture can be reduced to the cuspidal case.
Sep 24
Oct 15
Oct 22
Oct 29
- Speaker: Masao Oi 大井雅雄 (National Taiwan University 國立臺灣大學)
- Title:
Nov 5
Nov 12
- Speaker: Tony Feng (University of California, Berkeley)
- Title:
Nov 19
- Speaker: Si Ying Lee (National University of Singapore 新加坡国立大学)
- Title:
Nov 26
Dec 3
Dec 10
- Speaker: Jiawei An 安嘉伟 (Chinese Academy of Sciences 中国科学院)
- Title:
Dec 17
Dec 24