2023年数论与表示论研讨会
2023-12-08 至 2023-12-11
2023-12-08 | 签到 | |||
2023-12-09 | 上午会场 | 主持人: 许宾 | 厦门大学海韵园实验楼105 | |
09:00-09:50 | 黄炳荣
山东大学 |
Moments of quadratic twisted |
摘要 | |
10:00-10:50 | 吕恒飞
北京航空航天大学 |
Multiplicity one theorem for symmetric pairs | 摘要 | |
10:50-11:10 | 茶歇 | |||
11:10-12:00 | 曹炜
闽南师范大学 |
Zeros of Polynomials over Finite Witt Rings | 摘要 | |
下午会场 | 主持人: 林永晓 | 厦门大学海韵园实验楼105 | ||
14:30-15:20 | 齐治
浙江大学 |
Bessel 积分公式在数论中的应用 | 摘要 | |
15:30-16:20 | 王好武
武汉大学 |
Polynomial rings of modular forms on symmetric domains | 摘要 | |
16:20-16:40 | 茶歇 | |||
16:40-17:30 | 于树澄
中国科学技术大学 |
Some quantitative results in Diophantine approximation | 摘要 | |
2023-12-10 | 上午会场 | 主持人: 张翀 | 厦门大学海韵园实验楼105 | |
09:00-09:50 | 王标
云南大学 |
Modern generalizations and analogues of the prime number theorem in dynamical systems | 摘要 | |
10:00-10:50 | 栗慧曦
南开大学 |
Covering systems and the minimum modulus problem | 摘要 | |
10:50-11:10 | 茶歇 | |||
11:10-12:00 | 段炼
上海科技大学 |
On the irreducibility of low-dimensional geometric Galois representations | 摘要 | |
下午会场 | 自由讨论 | |||
2023-12-11 | 离会 |
摘要
黄炳荣 - Moments of quadratic twisted
In this talk, we will discuss some results on moments of quadratic twisted
吕恒飞 - Multiplicity one theorem for symmetric pairs
It is known that the symmetric pair
曹炜 - Zeros of Polynomials over Finite Witt Rings
Let
齐治 - Bessel 积分公式在数论中的应用
首先我会回顾几个经典的 Bessel 积分公式及其在诸如 Waldspurger 公式,Beyond Endoscopy,Motohashi 公式,Kuznetsov 公式等数论问题与公式中的应用,然后我会介绍最近证明的复数域上的 Bessel 积分公式以及 Gauss 数域上的 Bruggeman-Motohashi 和 Kuznetsov-Motohashi 公式。
王好武 - Polynomial rings of modular forms on symmetric domains
It is an important problem in the theory of modular forms to determine the structure of rings of modular forms, that is, to find explicit generators and their relations. In this talk, I will introduce the modular Jacobian approach to construct and classify the arithmetic groups acting on type IV symmetric domains and complex balls, for which the rings of modular forms are freely generated. This talk is based on joint work with Brandon Williams.
于树澄 - Some quantitative results in Diophantine approximation
Siegel transform is a classical transform in geometry of numbers taking functions on a Euclidean space to functions on the space of lattices. In this talk we describe a general strategy of obtaining some quantitative results in Diophantine approximation (especially some Khintchine-type results) using moment formulas of some generalized Siegel transforms. This is based on several joint works with Mahbub Alam, Anish Ghosh and Dubi Kelmer.
王标 - Modern generalizations and analogues of the prime number theorem in dynamical systems
In this talk, we will introduce some recent developments on the prime number theorem (PNT), including Bergelson and Richter's dynamical generalizations of the PNT and Kanigowski-Lemańczyk-Radziwiłł's work on the PNT for analytic skew products.
栗慧曦 - Covering systems and the minimum modulus problem
In this presentation, we will first introduce covering systems and the minimum modulus problem, then we will talk about some recent results about them in different settings.
段炼 - On the irreducibility of low-dimensional geometric Galois representations
Given an