Workshop on Automorphic Forms and Related Topics

自守形式及相关主题研讨会

• 批准号: 1601959
• 负责人: Ellen Eischen
• 金额: $ 2.28万
• 依托单位: University of Oregon Eugene
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-02-01 至 2017-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1601959&HistoricalAwards=false
• 关键词: Workshop; Automorphic; Forms; Related; Topics

The 30th Annual Workshop on Automorphic Forms and Related Topics (AFW) will take place March 7-10, 2016 at Wake Forest University in Winston-Salem, North Carolina. 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. This is the first time in at least a dozen years that the workshop -- which attracts participants from across the US as well as internationally -- will meet on the east coast, home to many experts on automorphic forms and closely related topics. 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. In addition to the research talks, the AFW will - like in past years - have two professional development panels on topics such as starting a tenure track job, forming collaborations, and transitioning from one career stage to the next. The organizers of the workshop, which has an international reputation for providing a supportive atmosphere for junior researchers, are committed to continuing to facilitate a supportive, inclusive, vertically integrated environment.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), 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 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, and additional related areas of research.Website:http://automorphicformsworkshop.org/

第30届汽车形式和相关主题的年度研讨会（AFW）将于2016年3月7日至10日在北卡罗来纳州温斯顿·塞勒姆的Wake Forest University举行。 AFW是一次国际认可的，备受尊重的与自动形式相关的主题会议，在最近的许多数学突破中，它们在许多近期突破中发挥了关键作用。 AFW延续了三个十年的长期传统，将在从研究生到高级教授的各个职业阶段中汇集一群地理上不同的参与者。通常，AFW约有一半的与会者处于职业生涯的早期阶段，大约四分之一到三分之一的参与者是女性。 AFW将继续提供一个支持和令人鼓舞的环境，以进行谈判，交换想法并开始新的合作。这是至少十几年来第一次，该研讨会（吸引来自美国和国际的参与者）将在东海岸见面，这是许多自动形态形式和密切相关主题的许多专家的所在地。 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的组合，这些新与会者将贡献新的观点和精力，并从研讨会中受益。 除了研究谈判之外，AFW还将在过去的几年中（就像在过去的几年中）有关主题的两个专业开发小组，例如开始任期田径工作，建立合作以及从一个职业阶段过渡到下一个职业阶段。该研讨会的组织者因为初级研究人员提供支持氛围而享有国际声誉，致力于继续促进支持性，包容性，垂直整合的环境。自动形态形式构成了数量理论和相关领域的主要研究领域。 AFW的目标之一是促进在不同领域工作的有关自动形式的研究人员之间的新互动和合作。 因此，研讨会将重点介绍包括分析性，代数，组合和P-Adic理论的自多态形式和相关主题（例如L功能）的领域的广泛发展。 自动形式在数学的许多突破中都起着关键作用，包括塞雷的猜想（由Chandrashekhar Khare，Mark Kisin，Mark Kisin，Mark Kisin和Jean-Pierre Wintenberger），由Thomas Barnet-barnet-barnet-barnet-gerant-gerhamb，hernet-hernet-gerhamb，haragh hernet-gerhamb，由塞尔·威尔·卡尔（Chandrashekhar Khare）（由安德鲁·威尔斯（Andrew Wiles））证明泰勒（Taylor）），塞尔（Serre）的统一猜想（由尤里·比卢（Yuri Bilu）和皮埃尔（Pierre）父母（Pierre parent）和基本引理（非政府组织鲍（Ngo Bau Chau）被授予了田野勋章）。 今年研讨会所涵盖的主题可能包括椭圆形，西格尔，希尔伯特和比安奇模块化形式，椭圆形曲线和阿伯利亚品种，特殊值的特殊值，L功能的特殊价值，L函数和自动化形式的P- adadic方面，与表示理论，模块化形式，模块化形式，模块化形式，模块化形式，相关区域，以及其他相关区域，以及其他相关区域，以及其他相关区域，以及其他相关区域， research.website:http://automorphicformsworkshop.org/