数论与表示论讨论班：大井雅雄 T...

2025-10-30

 地点：数学高等研究院报告厅时间：10月29日，17:00 - 18:00报告人：Masao Oi (台湾大学)摘要：In this talk, I would like to discuss a comparison of two kinds of representations of p-adic reductive groups arising from different origins. One is Yu's algebraic construction, further developed by Kim-Yu and Kaletha. The other is a geometric construction recently established by Chan-Ivanov, which generalizes the classical Deligne-Lusztig construction to the positive-depth setting. Our basic strategy is to compare the trace characters of those two representations. A central idea in our argument is to introduce an analogue of the classical Green function (in the context of Deligne-Lusztig theory) for both the algebraic and geometric representations, which enables us to get a character formula completely parallel to the classical Deligne-Lusztig character formula. This talk is based on my joint work with Charlotte Chan (University of Michigan).

数论与表示论讨论班：越川皓永 C...

2025-10-22

 地点：数学高等研究院报告厅时间：10月22日，16:00 - 17:00报告人：越川皓永 Teruhisa KOSHIKAWA (京都大学)摘要：I will explain some aspect of cuspidal coherent sheaves and relevant stuffs in the categorical local Langlands program.

数论与表示论讨论班：杨若涛The ...

2025-10-15

 地点：数学高等研究院报告厅时间：10月15日，16:00 - 17:00报告人：杨若涛 Ruotao Yang (中国科学院)摘要：The Gaiotto conjecture says that the category of representations of the quantum supergroup can be realized as a category of certain sheaves on the affine Grassmannian. It is the quantum version of a particular case of the relative Langlands conjecture by Ben-Zvi–Sakellaridis–Venkatesh. In this talk, we will mainly focus on the tamely ramified version of the Gaiotto conjecture, and see the application of the factorization method in its study. The talk is organized as follows: first we will review the background and explain the statement of the conjecture; then we will roughly sketch the strategy of the proof using the factorization method; if time permits, we will explain the application of the factorization method in the general relative Langlands program. The talk is based on ongoing works with Michael Finkelberg and Roman Travkin.

数论与表示论讨论班：Pol van Ho...

2025-09-24

 地点：数学高等研究院报告厅时间：9月24日，16:00 - 17:00报告人：Pol van Hoften (浙江大学)摘要：Classical Fourier theory describes measures on a locally compact abelian group in terms of functions on its Pontryagin dual. In this talk, I will explain an analogous theory for (families of) p-divisible rigid analytic groups and their duals that recovers the Amice transform when applied to the open unit disk considered as multiplicative group. This is joint work with Andrew Graham and Sean Howe.

数论与表示论讨论班：Alfio Fabi...

2025-09-17

 地点：数学高等研究院报告厅时间：9月17日，16:00 - 17:00报告人：Alfio Fabio La Rosa (数学高等研究院)摘要：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.

IASM Distinguished Lectures: P...

2025-09-15

 地点： 数学高等研究院报告厅时间：9月15日，14:30 - 15:30报告人: Paolo Cascini（伦敦帝国理工学院）  摘要: I will review recent progress on extending the Minimal Model Program to foliations. Building on techniques from both birational geometry and the theory of foliations, we obtain new results on the structure of foliated pairs. I will focus on applications such as the boundedness of algebraically integrable Fano foliations.简介：Paolo Cascini is a professor of mathematics at Imperial College London and a leading expert in algebraic geometry. He is renowned for his seminal contributions to birational geometry, particularly his work, often referred to as BCHM (standing for Birkar, Cascini, Hacon, and McKernan), which is a fundamental result in the Minimal Model Program. In recognition of his groundbreaking research, Cascini has received several prestigious honors, including the Sloan Fellowship and the E. H. Moore Prize from the American Mathematical Society for the best research article.

几何与拓扑讨论班：邓昊骅 Recen...

2025-09-15

 地点：数学高等研究院报告厅时间：9月15日，16:00 - 17:20报告人：邓昊骅 Haohua Deng（达特茅斯学院）Pretalk: Projective varieties and their Hodge theory摘要: In this pretalk I will briefly explain why Hodge-theoretic methods are fundamental in the study of projective varieties and their moduli. Elementary examples will be provided. No backgrounds beyond graduate-level complex analysis and algebraic topology will be assumed.Research talk: Recent breakthroughs on completing general period mappings摘要: Since Griffiths' question in the 70's, it is a long-standing problem to find a completion of general period mapping with significant geometric and Hodge-theoretic meaning. The classical theories on the compactification of locally symmetric varieties by Satake—Baily--Borel and Mumford et al provide such completions to a very limited set of classical cases, while the problem has been almost completely open for non-classical cases until recent years. I will report the latest progress in this direction including several of my papers. Collaborators include Chongyao Chen (IMFP Shanghai), Colleen Robles (Duke), Jacob Tsimerman (Toronto).

IASM-BIRS WORKSHOP 25W5414 - B...

2025-08-22

 会议名称： IASM-BIRS WORKSHOP 25W5414 - Bridging Theory and Practice in Finance时间：8.17-8.22地点：院士岛

捐赠仪式 | 求是之光 智映未来

2025-10-18

捐赠仪式 | 以数学之名，赴一场秋日之约

2025-10-12

数与对称——2024未来科学大奖与浙江大学联合学术报告会举行

2024-10-09

数高院孙崧教授在Acta Mathematica上发表文章

2024-09-09

Collapsing geometry of hyperkähler 4-manifolds and applicationsActa Math., 232 (2024), 325–424 by Song Sun, Ruobing Zhang AbstractWe investigate the collapsing geometry of hyperkähler 4-mani...

祝贺！数高院孙斌勇教授获“2024未来科学大奖”

2024-08-16

数高院刘一峰教授接连取得重大学术突破

2024-03-29

数高院刘一峰教授在Inventiones mathematicae上发表文章

2024-02-23

A p-adic arithmetic inner product formulaInventiones mathematicae volume 236, pages 219–3751 (2024)  by  Daniel Disegni & Yifeng LiuAbstractFix a prime number p and l...

孙崧教授正式加入浙江大学数学高等研究院

2024-01-01

   2024年1月1日，研究院迎来第五位永久成员孙崧教授。孙崧，1987年2月出生，中国籍，安徽安庆人，教授。中国科技大学学士（2003年-2006年），美国威斯康星大学麦迪逊分校博士（2006年-2010年）。先后任职...

祝贺！浙江大学包刚教授当选中国科学院院士

2023-11-22