Workshop on Automorphic Forms and Related Topics

第31届自构形及相关话题年度研讨会(AFW)将于2017年3月6日至9日在田纳西州约翰逊城的东田纳西州立大学举行。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延续了30年的传统，将把来自不同地理位置、处于不同职业阶段的参与者聚集在一起，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。除了研究讲座，AFW将像过去几年一样，有两个专业发展小组，主题包括良好的数学写作，早期职业发展，以及从一个职业阶段过渡到下一个阶段。此外，在AFW上，将第一次有一个“快速”会议，与会者(主要是初级数学家)就当前可能仍处于初步阶段的研究项目进行简短的演讲。自同构形式是数论及其相关领域的一个主要研究领域。AFW的目标之一是促进在不同领域工作的研究人员之间关于自同构形式的新的互动和合作。因此，工作坊将重点介绍自同构形式的解析、代数、组合和p-进位理论以及相关主题(如L函数)的广泛发展。自同构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(安德鲁·怀尔斯)，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(Yuri Bilu和Pierre Parent)，怪异的Moonlight猜想(Borcherds被授予菲尔兹奖)和基本引理(Ngo Bau Chau因此而被授予菲尔兹奖)。今年的研修班讨论的主题可能包括比安奇、椭圆、雅可比、希尔伯特和西格尔模形式、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、与表示理论的联系、模拟模形式、二次形式以及research.Website:http://automorphicformsworkshop.org/的其他相关领域

The 31st Annual Workshop on Automorphic Forms and Related Topics (AFW) will take place March 6-9, 2017 at East Tennessee State University in Johnson City, Tennessee. 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 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. In addition to the research talks, the AFW will - like in past years - have two professional development panels on topics such as good mathematical writing, early career development, and transitioning from one career stage to the next. Furthermore, for the first time at AFW, there will be a "speed" session in which participants (primarily junior mathematicians) present short talks about current research projects which may still be in preliminary stages. 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.Website:http://automorphicformsworkshop.org/