Zhongguancun Number Theory Colloquium----Morningside Center of Mathematics Chinese Academy of Sciences

Zhongguancun Number Theory Colloquium

2026-11-13 15:10-17:45

MCM110

Organizer: Yongquan Hu, Yichao Tian, Weizhe Zheng

Upcoming：

Speaker: Prof. Enlin Yang (Capital Normal University)

Time: 15:10-16:10, November 13th, 2026 (Friday)

Venue: MCM110

Title: Microlocal Geometry of Étale Sheaves in Positive Characteristics.

Abstract: We present a microlocalization theory for constructible sheaves in positive characteristic and explain its relation to singular supports and characteristic cycles, thereby achieving a long-standing goal inspired by the microlocal theory of Kashiwara and Schapira in the transcendental setting.

As an application, we discuss Saito's conjecture on cohomological characteristic classes，and a new, more elementary approach to the index formula and the conductor formula of Bloch in the geometric case.

This is joint work with Takeshi Saito and Jiangnan Xiong.

Speaker: Prof. Yiwen Ding (Peking University)

Time: 16:45-17:45, November 13th, 2026 (Friday)

Venue: MCM110

Title: locally analytic socle

Abstract: Breuil's locally analytic socle conjecture predicts a precise relationship between the occurrence of certain Orlik–Strauch representations in spaces of p-adic automorphic representations and the relative position of the Hodge and Weil filtrations of a potentially crystalline p-adic Galois representation. When the associated Weil–Deligne representation r splits as a direct sum of characters, Breuil–Hellmann–Schraen proved the conjecture using their deep theory of local models for trianguline varieties. Subsequently, Breuil–Ding introduced Bernstein eigenvarieties and generalized this strategy to prove many new cases in which r has irreducible constituents of dimension at least two. Recently, AI suggested certain algebraic-geometric arguments that remove the remaining restrictions in Breuil–Ding's work, thereby completing the proof of the conjecture. In this talk, I will discuss these developments.

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Date: December 12th, 2025 (Friday)

Speaker: Prof. Rui Chen (Zhejiang University)

Time & Venue: 15:00-16:00 MCM110

Title: Unitary dual problem for p-adic classical groups: the good parity case

Abstract: Classifying irreducible unitary representations is one of the most important problems in representation theory of reductive groups. In this talk, we will discuss the recent breakthrough on this problem by Atobe--Minguez, and generalize their results using the theta lifting.

Speaker: Prof. Xinyi Yuan (Beijing International Center for Mathematical Research)

Time & Venue: 16:30-17:30 MCM110

Title: A quantitative Mordell conjecture

Abstract: The Mordell conjecture was proved by Faltings in 1983, and a uniform version of the conjecture was proved by Dimitrov-Gao-Habegger and Kuhne in 2021. In tihs talk, I will present an explicit version of the uniform conjecture. This is my joint work with Jiawei Yu (虞家伟) and Shengxuan Zhou (周胜铉).

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Date: October 24th, 2025 (Friday)

Speaker: Prof. Lingfei Yi (Fudan University)

Time & Venue: 15:00-16:00 Jingchunyuan 82, BICMR

Title A local geometric Langlands between toral supercuspidal representations and irreducible isoclinic formal connections.

Speaker: October 24th, 2025 (Friday)

Time & Venue: 16:30-17:30 Jingchunyuan 82, BICMR

Title: Triangular numbers, square numbers and Langlands duality

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Date: September 26th, 2025 (Friday)

Speaker: Prof. Andreas Mihatsch (Zhejiang University)

Time & Venue: 15:00-16:00 Shuangqing Complex Building, Tsinghua University

Title: Transferring intersection number identities to characteristic p

Speaker: Prof. Don Zagier (Max Planck Institute for Mathematics)

Time & Venue: 16:30-17:30 Shuangqing Complex Building, Tsinghua University

Title: The Habiro ring: an introduction

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Date: April 25th, 2025 (Friday)

Speaker: Prof. Anna Cadoret (Sorbonne Université)

Time & Venue: 15:00-16:00 MCM110

Title: Variation of Tannaka group of perverse sheaves over abelian varieties in families

Speaker: Prof. Tomoyuki Abe (The University of Tokyo)

Time & Venue: 16:30-17:30 MCM110

Title: Serre's conjecture on Artin character in the geometric case

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Date: March 28th, 2025 (Friday)

Speaker: Prof. Weizhe Zheng (MCM, CAS)

Time & Venue: 15:00-16:00 Jingchunyuan 82, BICMR

Title: Arithmetic properties of l-adic cohomology over p-adic fields

Speaker: Prof. Enlin Yang (Peking University)

Time & Venue: 16:30-17:30 Jingchunyuan 82, BICMR

Title: Saito's conjecture on characteristic classes of constructible etale sheaves

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Date: September 27th, 2024 (Friday)

Speaker: Prof. Gerard van der Geer (Tsinghua University)

Time & Venue: 15:00-16:00 Shuangqing Complex Building, Tsinghua University

Title: Picard modular forms and curves of genus three

Speaker: Prof. Yifeng Liu (Zhejiang University)

Time & Venue: 16:30-17:30 Shuangqing Complex Building, Tsinghua University

Title: Bessel periods and Selmer groups over ordinary eigenvariety

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Date: November 29th, 2024 (Friday)

Speaker: Prof. Ziquan Yang (The Chinese University of Hong Kong)

Time & Venue: 15:00-16:00 MCM110

Title: Some Arithmetic Applications of Functional Transcendence

Speaker: Prof. Yousheng Shi (Zhejiang University)

Time & Venue: 16:30-17:30 MCM110

Title: The Kudla-Rapoport Conjecture: knowns and unknowns

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