Conference: Workshop on Automorphic Forms and Related Topics

第36届自同构形式及相关主题（AFW）年度研讨会将于2024年5月20日至24日在俄克拉荷马州斯蒂尔沃特大学举行。AFW是一个国际公认的，备受尊重的会议，其主题与自同构形式有关，自同构形式在最近的许多数学突破中发挥了关键作用。AFW将汇集来自不同地区、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将继续提供一个支持和鼓励的环境，进行会谈，交换意见，并开始新的合作。这是AFW第一次在俄克拉荷马州举行会议，许多自同构形式和密切相关主题的专家都在附近。因此，除了吸引每年参加的演讲者外，研讨会还可能吸引新的与会者，他们将贡献新的观点和能量，并从研讨会中受益。该研讨会以其包容和鼓励的氛围而闻名，特别是对早期职业研究人员和数论社区中代表性不足的群体的研究人员。传统上，研讨会是这些研究人员与其他机构的潜在合作者和导师联系的一个富有成效的地方，他们正在研究相关的主题。为了帮助实现这一目标，2024年AFW将针对研究生水平，针对自同构形式理论中的各种基本主题进行五次说说性演讲。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发挥着核心作用，是许多突破性定理的证明中不可或缺的一部分，包括费马大定理（由安德鲁·怀尔斯提出），佐藤-泰特猜想（由托马斯·巴尼特·兰姆、大卫·杰拉蒂、迈克尔·哈里斯和理查德·泰勒提出），塞尔猜想（由钱德拉舍卡·卡雷、马克·基辛和让-皮埃尔·温滕伯格提出），佐藤-泰特猜想（由托马斯·巴尼特·兰姆、大卫·杰拉蒂、迈克尔·哈里斯和理查德·泰勒提出），Serre的均匀性猜想（由Yuri Bilu和Pierre Parent提出）和基本引理（Ngo Bau Chau因此获得了菲尔兹奖）。自同构形式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椭圆、西格尔、希尔伯特和比安奇模形式、椭圆曲线和阿贝尔变体、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、怪异的moonshine以及其他相关研究领域。更多信息可以在会议网站上找到：http://automorphicformsworkshop.org/.This该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，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.