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2020年5月11日至15日在犹他州摩押的摩押艺术和娱乐中心举行的第34届自守形式及相关主题（AFW）年度研讨会。AFW始于20世纪80年代，现已发展成为国际公认的数论会议。通常情况下，大约一半的与会者在AFW是在他们的职业生涯的早期阶段，组织者作出特别努力，以支持妇女在所有职业阶段。AFW将继续提供一个非常支持，欢迎和包容的环境，为与会者提供讲座和合作。除了研究会谈，AFW将继续有两个数学职业问题的专业发展小组的长期传统。为了让更多的观众更容易理解，2020年AFW将每天举办关于自守形式理论的各种基本主题的讲座。自守形式在数论中发挥着核心作用，是许多开创性定理的证明所不可或缺的，包括费马大定理和Sato-Tate猜想。它们是许多重要的正在进行的研究的主题，其中包括朗兰兹计划，与随机矩阵理论的联系，以及广义黎曼假设。它们也出现在数论之外的许多数学领域，最明显的是数学物理。在今年的研讨会所涵盖的主题可能包括马斯波形式，模拟模形式，二次形式和theta函数，椭圆曲线，L-函数的特殊值，西格尔，雅可比和希尔伯特模形式，朗兰兹函数性，p-adic模形式和p-adic L-函数，算术统计，伽罗瓦表示和Kloosterman和。研讨会网站是http://automorphicformsworkshop.org/.This奖反映了NSF的法定使命，并已被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估的支持。