Workshop on Automorphic Forms and Related Topics

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自同态形式和相关主题（AFW）第34届年度研讨会，于2020年5月11日至15日在Moab艺术和娱乐中心举行，UT。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，参加AFW的大约一半的人处于职业生涯的早期阶段，组织者特别努力支持处于所有职业阶段的女性。AFW将继续提供一个特别支持，欢迎和包容的环境，以进行会谈和参与者之间的合作。除了研究会谈外，AFW还将继续举办两个专业发展小组讨论数学职业问题的长期传统。为了增加对更广泛受众的可访问性，2020年AFW将在自同构形式理论的各种基本主题上进行每日说说性会谈。自同构形式在数论中发挥着核心作用，是许多突破性定理证明的组成部分，包括费马大定理和佐藤-塔特猜想。它们是许多重要猜想的主题，其中包括朗兰兹程序，与随机矩阵理论的联系，以及广义黎曼假设。它们也出现在数论以外的许多数学领域，尤其是在数学物理中。今年的研讨会涵盖的主题可能包括质量波形、模拟模形式、二次型和函数、椭圆曲线、l函数的特殊值、Siegel、Jacobi和Hilbert模形式、Langlands泛函、p进模形式和p进l函数、算术统计、伽罗瓦表示和Kloosterman和。研讨会的网站是http://automorphicformsworkshop.org/.This，该奖项反映了美国国家科学基金会的法定使命，并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，被认为值得支持。

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.