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届年度汽车形式和相关主题的研讨会（AFW），于2020年5月11日至15日在犹他州摩押摩押艺术和娱乐中心举行。 AFW始于1980年代，已成长为数字理论中国际公认的会议。通常，AFW约有一半的与会者处于职业生涯的早期阶段，组织者在所有职业阶段都做出了特别的努力。 AFW将继续提供一个非常支持，热情和包容性的环境，以进行谈判和参与者之间的协作。除了研究谈判外，AFW还将继续长期以来在数学职业问题上拥有两个专业发展小组的传统。为了提高对更广泛受众的访问，2020年AFW将每天在自动形态理论中进行各种基本主题的外部谈判。足形式在数字理论中起着核心作用，是许多开创性定理的一部分，包括Fermat的最后一个定理和Sato-Tate Tate Indienture。它们是许多正在进行的持续猜想的主题，其中包括兰兰兹计划，与随机矩阵理论的联系以及普遍的Riemann假设。它们也出现在数学理论之外的许多数学领域，最著名的是数学物理学。 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 functionalities, p-adic modular forms and p-adic L-functions, arithmetic statistics, Galois representations, and Kloosterman sums.研讨会网站是http://automorphicformsworkshop.org/.this Trive反映了NSF的法定任务，并使用基金会的知识分子优点和更广泛的影响审查标准，被认为是通过评估来获得的支持。