Conference: Workshop on Automorphic Forms and Related Topics

第36届自构形及相关主题年度研讨会(AFW)将于2024年5月20日至24日在俄克拉荷马州立大学斯蒂尔沃特举行。AFW是一个国际公认的、备受尊敬的会议，主题与自同构形式有关，这些主题在最近数学领域的许多突破中发挥了关键作用。AFW将汇集来自不同地区、处于不同职业阶段的参与者，从研究生到高级教授。通常，AFW的参与者中约有一半处于职业生涯的早期阶段，约四分之一至三分之一的参与者是女性。AFW将继续为演讲、交流思想和开始新的合作提供一个支持和鼓励的环境。这是AFW第一次在俄克拉何马州召开会议，许多自同构形式和密切相关话题的专家都在附近。因此，除了吸引每年参加的发言者外，讲习班还可能吸引新的与会者，他们将贡献新的观点和能量，并从讲习班中受益。该研讨会以其包容和鼓舞人心的氛围而闻名，尤其是对职业生涯早期的研究人员和数论界中代表性不足的群体。研讨会传统上是这些研究人员与其他机构的潜在合作者和导师联系的富有成效的地方，致力于相关主题的工作。为了帮助实现这一目标，2024年AFW将针对研究生水平，就自同构形式理论中的各种基本主题进行五次说明性演讲。还将有两个小组讨论，重点是数学职业问题。自同构形式在数论中扮演着核心角色，是许多开创性定理的证明的组成部分，包括费马大定理(由Andrew Wiles)、佐藤泰特猜想(Thomas Barnet-Lamb、David Geraghty、Michael Harris和Richard Taylor)、Serre猜想(Chandrashekhar Khare、Mark Kisin和Jean-Pierre Wtenberger)、Sato-Tate猜想(Thomas Barnet-Lamb、David Geraghty、Michael Harris和Richard Taylor)、Serre一致性猜想(由Yuru和Pierre Parent获得)以及基本引理(Ngo Bau Chau因此而被授予菲尔兹奖)。自同构形式是许多正在进行的重要猜想的主题，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。它们还出现在数论之外的许多数学领域，尤其是在数学物理学中。今年工作坊的主题可能包括椭圆、西格尔、希尔伯特和比安奇模形式，椭圆曲线和阿贝尔族，L函数的特殊值，L函数的p-进方面和自同构形式，与表示理论的联系，模拟模形式，二次形式，与数学物理的联系，奇异的月光，以及其他相关的研究领域。更多信息可在会议网站上找到：http://automorphicformsworkshop.org/.This奖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智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

The 36th Annual Workshop on Automorphic Forms and Related Topics (AFW) will take place May 20-24, 2024, at Oklahoma State University in Stillwater, OK. The AFW is an internationally recognized, well-respected conference on topics related to automorphic forms, which have played a key role in many recent breakthroughs in mathematics. The AFW will bring together a geographically diverse group of participants at a wide range of career stages, from graduate students to senior professors. Typically, about half of the attendees at the AFW are at early stages of their careers, and about one quarter to one third of participants are women. The AFW will continue to provide a supportive and encouraging environment for giving talks, exchanging ideas, and beginning new collaborations. This is the first time the AFW will meet in Oklahoma where many experts on automorphic forms and closely related topics are nearby. Thus, in addition to attracting speakers who participate annually, the workshop is likely to draw a mix of new attendees who will contribute new perspectives and energy and benefit from the workshop. The workshop is known for its inclusive, encouraging atmosphere, particularly to early career researchers and to those from underrepresented groups in the number theory community. The workshop has traditionally been a fruitful place for these researchers to connect with potential collaborators and mentors at other institutions, working on related topics. To help achieve this goal, the 2024 AFW will feature five expository talks on various fundamental topics in the theory of automorphic forms, aimed at the graduate student level. There will also be two panel discussions focused on mathematical career questions. Automorphic forms play a central role in number theory, being integral to the proofs of many groundbreaking theorems, including Fermat's Last Theorem (by Andrew Wiles), the Sato-Tate Conjecture (by Thomas Barnet-Lamb, David Geraghty, Michael Harris, and Richard Taylor), Serre's Conjecture (by Chandrashekhar Khare, Mark Kisin, and Jean-Pierre Wintenberger), the Sato-Tate Conjecture (by Thomas Barnet-Lamb, David Geraghty, Michael Harris, and Richard Taylor), Serre's Uniformity Conjecture (by Yuri Bilu and Pierre Parent), and the Fundamental Lemma (for which Ngo Bau Chau was awarded the Fields Medal). Automorphic forms 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 elliptic, Siegel, Hilbert, and Bianchi modular forms, elliptic curves and abelian varieties, special values of L-functions, p-adic aspects of L-functions and automorphic forms, connections with representation theory, mock modular forms, quadratic forms, connections with mathematical physics, monstrous moonshine, and additional related areas of research. Additional information can be found on the conference website: 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.