Workshop on Automorphic Forms and Related Topics

自守形式及相关主题研讨会

• 批准号: 2005654
• 负责人: Nickolas Andersen
• 金额: $ 1.4万
• 依托单位: Brigham Young University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2005654&HistoricalAwards=false
• 关键词: Workshop; Automorphic; Forms; Related; Topics

This award supports participation by graduate students, postdoctoral fellows, and other early-career researchers in the 34th Annual Workshop on Automorphic Forms and Related Topics (AFW), held May 11-15, 2020 at the Moab Arts and Recreation Center in Moab, UT. The AFW began in the 1980s and has grown to become an internationally-recognized conference in number theory. Typically, about half of the attendees at the AFW are at early stages of their careers, and organizers make a particular effort to support women at all career stages. The AFW will continue to provide an exceptionally supportive, welcoming, and inclusive environment for giving talks and for collaboration among participants. In addition to the research talks, the AFW will continue the longstanding tradition of having two professional development panels on mathematical career questions. To increase accessibility to a wider audience, the 2020 AFW will feature daily expository talks on various fundamental topics in the theory of automorphic forms.Automorphic forms play a central role in number theory, being integral to the proofs of many groundbreaking theorems, including Fermat’s Last Theorem and the Sato-Tate Conjecture. They are the subject of many important ongoing conjectures, among them the Langlands program, connections to random matrix theory, and the generalized Riemann hypothesis. They also appear in many areas of mathematics outside number theory, most notably in mathematical physics. The topics covered in this year's workshop are likely to include Maass wave forms, mock modular forms, quadratic forms and theta functions, elliptic curves, special values of L-functions, Siegel, Jacobi, and Hilbert modular forms, Langlands functoriality, p-adic modular forms and p-adic L-functions, arithmetic statistics, Galois representations, and Kloosterman sums. The workshop website is http://automorphicformsworkshop.org/.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项支持研究生、博士后研究员和其他早期职业研究人员参加第 34 届自同构形式及相关主题年度研讨会 (AFW)，该研讨会于 2020 年 5 月 11 日至 15 日在犹他州摩押艺术和娱乐中心举行AFW 始于 20 世纪 80 年代，现已发展成为国际公认的数论会议。通常，大约一半的 AFW 与会者都是早期参加者。 AFW 将继续为参加者之间的演讲和合作提供异常支持、热情和包容的环境。 AFW 将延续设立两个关于数学职业问题的专业发展小组的长期传统，为了增加更广泛的受众的参与度，2020 年 AFW 将以自守形式理论中的各种基本主题为特色的每日说明性演讲。自守形式发挥着核心作用。数字中的角色理论，是许多开创性定理证明的组成部分，包括费马大定理和佐藤泰特猜想，它们是许多重要的正在进行的猜想的主题，其中包括朗兰兹纲领、与随机矩阵理论的联系和广义黎曼假设。它们还出现在数论之外的许多数学领域，尤其是数学物理学，今年研讨会涵盖的主题可能包括马斯波形、模拟模形式、二次形式和 theta。函数、椭圆曲线、L 函数的特殊值、Siegel、Jacobi 和 Hilbert 模形式、Langlands 函子性、p 进模形式和 p 进 L 函数、算术统计、伽罗瓦表示和 Kloosterman 和。研讨会网站是 http://automorphicformsworkshop.org/。该奖项反映了 NSF 的法定使命，并且通过使用基金会的智力优势和更广泛的评估，被认为值得支持。影响审查标准。