Workshop on Automorphic Forms and Related Topics

第33届自同态形式及相关主题（AFW）年度研讨会将于2019年3月6日至10日在宾夕法尼亚州匹兹堡的杜肯大学举行。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延续了30年的传统，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。一般来说，AFW的参与者中大约有一半处于职业生涯的早期阶段，我们特别努力支持处于所有职业阶段的女性。AFW将继续为会谈提供一个支持性和鼓励性的环境——包括就初步结果进行3分钟“快速会谈”的机会——交换意见，并开始新的合作。除了研究会谈之外，AFW还将延续其长期以来的传统，举办两个专业发展小组，主题包括促进代表性不足群体在数学方面的参与和成功，为就业市场做准备，以及平衡专业责任。为了让更多的观众能够接触到，研讨会将于3月6日举行为期一天的“训练营”。自同构形式构成了数论和相关领域的一个主要研究领域。AFW的目标之一是促进研究人员在不同领域关于自同构形式的新的互动和合作。因此，研讨会将重点介绍自同构形式的解析、代数、组合和p进理论以及l函数等相关主题的广泛发展。自同态形式在许多数学突破中发挥了关键作用，包括费马大定理的证明（由安德鲁·怀尔斯提出），塞尔猜想（由钱德拉谢卡·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），塞尔的均匀性猜想（由尤里·比鲁和皮埃尔·帕兰特提出），巨大的Moonshine猜想（Borcherds因此获得菲尔兹奖），以及基本引理（吴宝洲因此获得菲尔兹奖）。今年的研讨会涵盖的主题可能包括Bianchi、椭圆、Jacobi、Hilbert和Siegel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、二次型和其他相关研究领域。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。

The 33rd Annual Workshop on Automorphic Forms and Related Topics (AFW) will take place March 6-10, 2019 at Duquesne University in Pittsburgh, PA. 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. Continuing a three-decade long tradition, 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 we make a particular effort to support women at all career stages. The AFW will continue to provide a supportive and encouraging environment for giving talks -- including the opportunity to give 3-minute "speed talks" on preliminary results -- exchanging ideas, and beginning new collaborations. In addition to the research talks, the AFW will continue the longstanding tradition of having two professional development panels on topics such as facilitating engagement and success in mathematics for underrepresented groups, preparing for the job market, and balancing professional responsibilities. To increase accessibility to a wider audience, the Workshop will begin with a one-day "bootcamp" to be held March 6th. Automorphic forms constitute a major area of study in number theory and related areas. One of the goals of the AFW is to promote new interactions and collaborations between researchers working in different areas concerning automorphic forms. Thus, the workshop will highlight a wide range of developments in areas including the analytic, algebraic, combinatorial, and p-adic theory of automorphic forms and related topics such as L-functions. Automorphic forms have played a key role in many breakthroughs in mathematics, including the proofs of Fermat's Last Theorem (by Andrew Wiles), 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),the Monstrous Moonshine Conjecture (for which Borcherds was awarded the Fields Medal), and the Fundamental Lemma (for which Ngo Bau Chau was awarded the Fields Medal). The topics covered in this year's workshop are likely to include Bianchi, elliptic, Jacobi, Hilbert, and Siegel 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, and additional related areas of research. 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.