IASM的初雪

2026-01-20

一场与时间同行的学术旅程——IASM...

2026-01-06

数论与表示论讨论班：Tony Feng ...

2025-12-31

 地点: 数学高等研究院报告厅时间: 12月31日，15:00 - 17:00主讲人: Tony Feng (加利福尼亚大学伯克利分校)Title: Higher Theta Functions Over Function Fields15:00 - 15:45  Pre-talk: I will introduce background on theta functions and shtukas which will be helpful for understanding the main talk. This should be accessible to senior undergraduates and graduate students. 16:00 - 17:00 Abstract：The theory of theta functions and arithmetic theta functions is used classically to access the special values and special derivatives of automorphic L-functions. In joint work with Zhiwei Yun and Wei Zhang, we have constructed a theory of higher theta functions over function fields, which we expect to give access to higher derivatives of automorphic L-functions in terms of arithmetic geometry. This has led us, also partly jointly with Adeel Khan, to unexpected and fruitful connections between theta functions, derived algebraic geometry and motivic homotopy theory.

几何与拓扑讨论班： Trung Nghie...

2025-12-29

 地点：数学高等研究院报告厅时间：12月29日，10:30 - 11:50报告人：Trung Nghiem（法国里昂第一大学）摘要:  Pretalk: Introduction to toric Calabi--Yau conesAbstract: A toric variety is a normal algebraic variety that contains an algebraic torus as a dense set, whose action extends to the whole variety. Since their conception, the varieties have provided many insightful examples for important conjectures in algebraic geometry. This pretalk aims to introduce the concept of complex affine toric varieties with Gorenstein singularities; their classification in terms of rational polytopes; and their equivalent metric characterization as toric Calabi--Yau cones (i.e. Ricci-flat Kähler cone metrics with toric isometry).Research talk: An effective construction of asymptotically conical Calabi--Yau manifoldsAbstract: An asymptotically conical Calabi--Yau manifold is a Ricci-flat Kähler manifold whose shape, when zoomed out towards infinity, looks like a Calabi--Yau cone. A recent work of Conlon--Hein shows that an AC Calabi--Yau manifold is obtained either by algebraic deformations or crepant resolution in a reversible and exhaustive process. In terms of the metric on the cone, the behavior of the AC Calabi--Yau metric is said to be quasi-regular or irregular. Examples of the latter are notoriously rare in the literature: in fact the only such example before our work was built by Conlon--Hein using ad-hoc computations; but so far there has been no explicit way to obtain them, and an open question in their paper was whether there exist more metrics of the same kind. In my research talk, I'll present an effective strategy to construct irregular AC Calabi--Yau manifolds via Altmann's deformation theory of isolated toric Gorenstein singularities (i.e. toric Calabi--Yau cones by the previous talk). This is a joint work with Ronan Conlon (University of Texas, Dallas).

数论与表示论讨论班：江元旸 Loca...

2025-12-25

 地点: 数学高等研究院报告厅时间: 12月25日，16:00 - 17:00主讲人: 江元旸 Yuanyang Jiang (巴黎萨克雷大学)摘要: We generalize a result of Lue Pan on locally analytic completed cohomology of modular curves to the case of Hilbert modular varieties. As an application, we prove that for parallel weight Hecke classes appearing in the completed cohomology of Hilbert modular varieties, de Rhamness of the associated Galois representation will imply classicality. One central problem is to understand certain partial de Rham cohomology, which we will prove to be classical by developing a version of Jacquet–Langlands transfer of D-modules using theory of analytic de Rham stacks.

数论与表示论讨论班：陈梵谷 A g...

2025-12-17

 地点: 数学高等研究院报告厅时间: 12月17日，16:00 - 17:00主讲人: 陈梵谷  Fangu Chen (加利福尼亚大学伯克利分校)摘要: In 1987, Elkies proved that every elliptic curve defined over Q has infinitely many supersingular primes. In this talk, I will present an extension of this result to certain abelian fourfolds in Mumford's families and more generally, to certain families of Kuga–Satake abelian varieties constructed from K3-type Hodge structures with real multiplication. I will review Elkies' proof and explain how his strategy of intersecting with CM cycles can be adapted to our setting. I will also discuss some of the techniques in our proof to study the local properties of the CM cycles.

数论与表示论讨论班：安嘉伟 Slo...

2025-12-10

 地点: 数学高等研究院报告厅时间: 12月10日，16:00 - 17:00主讲人: 安嘉伟 Jiawei An (中国科学院)摘要: In this talk, I will discuss a distribution conjecture (Bergdall–Pollack) concerning the slopes (i.e., the p-adic valuations) of L-invariants attached to p-new eigenforms, which is analogous to the Gouvêa distribution conjecture for the slopes of modular forms. I will also explain how the recent breakthrough – the local ghost theorem of Liu, Truong, Xiao, and Zhao – can be used to compute these slopes and to prove the conjecture under certain generic local conditions on the associated Galois representations.

数论与表示论讨论班：吴沛航 Can...

2025-12-03

 地点: 数学高等研究院报告厅时间: 12月3日，16:00 - 17:00主讲人: 吴沛航 Peihang Wu (北京大学)摘要: In this talk, we discuss the extension of p-adic shtukas on (integral models of) toroidal compactifications of Shimura varieties. We will explain the theory from a more general context and explain how to construct such extensions for toroidal compactifications. We will also discuss its applications for proving that many strata of special fibers are well positioned and for studying the uniqueness and functoriality of compactifications. This is based on a joint work in preparation with Shengkai Mao.

祝贺！数高院刘一峰教授获2025年度Alexanderson奖

2026-01-13

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...