Wenhan Dai

Conference / Seminar Activities

Ongoing / Upcoming Events During 2024 Spring

Notes and Archives of Past Events

2024 Summer

The Los Angeles Workshop on Representations and Geometry.
The follow-up event behind Minnesota summer school and workshop. Containing Problem sessions for examples in relative Langlands duality.
Minnesota Summer School and Workshop on Relative Langlands Duality.
Covered several aspects of the relative Langlands program and explore new connections.

2024 Spring

Jinling Conference on Number Theory and Arithmetic Geometry.
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Seminar on Relative Langlands Duality (II).
To study the new work by Ben-Zvi, Sakellaridis, and Venkatesh, about the global conjecture and Devalapurkar’s recent rank-one local proof.

2023 Fall

Seminar on Relative Langlands Duality (I).
To study the new work by Ben-Zvi, Sakellaridis, and Venkatesh, with an emphasis on the local conjecture.
Lectures on geometric Langlands.
By Lin Chen, to introduce the recent works on the proof by the group led by Dannis Gaitsgory.

2023 Summer

The 5th Kyoto+ Conference on Algebraic Geometry and Arithmetic Geometry in Nanjing.
By Arithmetic & Homotopic Galois Theory, a France-Japan international network.
HIM Conference on Global Langlands, Shimura Varieties, and Shtukas.
On various aspects of the global Langlands correspondence; about in particular the geometry and cohomology of Shimura varieties and more general locally symmetric spaces, or moduli spaces of shtukas.
PKU Mathematics Forum on Pure Mathematics.
To celebrate the 110th anniversary of PKU Mathematics.
PKU Algebra & Geometry Mini-Forum.
A one-day junior faculty salon to warm up the PKU alumni forum.
IHES Summer School on Recent Advances in Algebraic K-theory.
To update the exciting developments, via research lectures, mini-courses, and an Arbeitsgemeinschaft on the topic of syntomic and étale motivic cohomology.
MCM Satellite Conference in Number Theory of ICBS.
To discuss recent developments in number theory, representation theory, and arithmetic geometry, with a focus on subjects related to Langlands program.

2023 Spring

HIM Conference on Local Langlands and p-adic Methods.
On aspects of the local Langlands correspondence over p-adic fields and methods from p-adic Hodge theory; at Hausdorff Research Institute for Mathematics, Universität Bonn.
HIM Summer School on the Arithmetic of the Langlands Program.
Courses about automorphy lifting, categorical local Langlands, p-adic automorphic forms, p-adic geometry, and shtukas; at Hausdorff Research Institute for Mathematics, Universität Bonn.
Geometry of Shimura Varieties mod p.
On the geometry of Shimura varieties mod p as well as arithmetic applications, and hopefully forming new research ideas.
On p-divisible Groups.
A seminar to study the basics of p-divisible groups, including the moduli construction by Scholze-Weinstein.
Constructions of Motivic Elements.
To study several constructions of cycles and motivic elements, in particular K(1)-elements via Borcherds product.
Seminar Beyond Fargues-Scholze.
Seminar for studying; focusing on works in the Langlands program that follow from Fargues-Scholze.
Abelian Varieties (II).
The second-half of a student learning seminar for the 3+X Program at PKU.
Hong Kong Conference on Arithmetic Algebraic Geometry.
In honor of Shouwu Zhang’s 60th birthday, the Chinese Univeristy of Hong Kong.
On Lawrence–Venkatesh’s Proof of the Mordell Conjecture.
A learning seminar, including applications of p-adic Hodge theory, representation theory, etc..
Slopes of Modular Forms and the Ghost Conjecture.
Lecture series by Ruochuan Liu, Liang Xiao, and Bin Zhao about their recent big work on the ghost conjecture.
Shenzhen Workshop on Arithmetic Geometry.
A conference held by Southern University of Science and Technology at Shenzhen, China; some recent results by participants involved.
Hida’s Theory on p-adic Modular Forms.
Lectures by Bin Zhao (Capital Normal University); about Hida’s analytic families of ordinary p-adic modular forms and their associated Galois representations.

2023 Winter

On Geometrization of Local Langlands Correspondence.
Reading workshop about recent progress by Fargues–Scholze; held by BICMR and MCM.
Rigid and Formal Geometry Learning Seminar.
Student learning seminar on basics of rigid analytic geometry; to prepare for an upcoming course on perfectoid spaces.
Instructional Workshop on Iwasawa Theory for Automorphic Forms.
Online workshop at Korean Institute for Advanced Study (KIAS); introduction to breakthrough works on Iwasawa theory.

2022 Fall

p-adic Geometry Learning Seminar: On Banach-Colmez Spaces.
To learn about basics of finite-dimensional Banach-Colmez spaces; held at MCM.
Lectures on mod p Langlands program for GL(2).
Advanced guest lecture series by Yongquan Hu (MCM); to introduce recent progress on the mod p Langlands program for GL(2).
On the Ternary Goldbach Problem.
Students’ for-fun-only discussions during the coffee break; covered basics of additive and combinatoric number theory.
Abelian Varieties (I).
The first-half of a student learning seminar for the 3+X Program at PKU.

2022 Summer

IHES Summer School on the Langlands Program.
Aims to do the same for the next phase of development in the Langlands program as the Corvallis 45 years ago.
Geometry of Shimura Varieties and Arithmetic Applications.
On recent developments; supported by Tianyuan Research Grant of Chinese NSF.

2022 Spring

Geometry of Shimura Varieties mod p.
A mix of learning and research; mainly follow the work of David Helm, Yichao Tian, and Liang Xiao in this area.
Locally Analytic p-adic Representations.
On continuous and locally analytic representations of p-adic groups.
Springer Theory, Representation Theory, and Complex Geometry.
About classical Springer theory with an emphasis on concreteness; intended to be in-person.
Lie Algebras and Representation Theory.
A mini-course by Jinpeng An at Tianyuan Mathematical Center in Southwest China.

2021 Winter

Springer Fibers and Quiver Varieties.
To realize irreducible components of two-row Springer fibers in terms of Nakajima quiver varieties; by TMS, National Central University, Taiwan.
Algebraicity and Automorphic Forms on Unitary Groups.
One of the topics in Arizona Winter School 2022; by Ellen Eischen.

2021 Fall

3264 and All That.
A student learning seminar on enumerative geometry.
The Uniform Mordell-Lang Program.
Workshop around Junyi Xie and Xinyi Yuan’s proof on Bogomolov conjecture; held by Institute for Theoretical Sciences, Westlake University, at Hangzhou.

2021 Summer

From Modular Forms to Shimura Varieties.
A week-long summer school basic course by Liang Xiao at BICMR; with many exercises.
Counting Points on Shimura Varieties.
A short course proposed by Yihang Zhu (Maryland) about his recent work.

2021 Spring

(Conference) Revisiting Padova 2017: Serre Conjecture and the p-adic local Langlands Program.
(Workshop) Automorphic Forms and the Langlands Program.

Before 2021

(Seminar) Student Seminar on Hartshorne’s Algebraic Geometry.
(Seminar) Student Seminar on Naive Lie Theory.