Analytic Number Theory and its Applications, July 14-18, 2014

解析数论及其应用，2014 年 7 月 14-18 日

• 批准号: 1403383
• 负责人: Dorian Goldfeld
• 金额: $ 2.5万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-05-01 至 2015-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1403383&HistoricalAwards=false
• 关键词: Analytic; Number; Theory; its; Applications

In the last thirty years there have been two dramatic breakthroughs in analytic number theory: the use of automorphic forms on higher rank groups, and the introduction of multiple Dirichlet series. A conference focusing on recent advances around these two breakthroughs will be held at Perrotis College, Thessaloniki, Greece, July 14-18, 2014. The conference will feature lectures by twenty leaders in the field. One of the main aims of this conference is to introduce young researchers to this exciting new frontier by suggesting open problems and new research directions. This award supports the participation of US-based postdocs, graduate students, and researchers without other sources of support.The conference "Analytic Number Theory and its Applications" is centered on research by Jeff Hoffstein and his collaborators and students. Topics to be discussed include the construction of Weyl group multiple Dirichlet series associated to any finite or affine reduced root system, convexity breaking, non vanishing results of L-functions, the description of Fourier-Whittaker coefficients of metaplectic Eisenstein series in terms of crystal graphs, asymptotics of integral moments of L-functions, and surprising relationships between theta functions and multiple Dirichlet series. The meeting provides an international audience with opportunities for cross-pollination of ideas between classical problems in analytic number theory and recent breakthroughs in automorphic forms and multiple Dirichlet series. Conference website: http://math.umn.edu/~brubaker/jh2014c.html

在过去的30年里，解析数论有两个重大突破：在高阶群上使用自守形式，以及引入多重狄利克雷级数。 2014年7月14日至18日，将在希腊塞萨洛尼基的Perrotis学院举行一次会议，重点讨论这两项突破的最新进展。 这次会议将有20位该领域的领导人作专题演讲。 本次会议的主要目的之一是通过提出开放问题和新的研究方向，向年轻的研究人员介绍这一令人兴奋的新领域。 该奖项支持美国博士后、研究生和研究人员在没有其他支持来源的情况下参与。“解析数论及其应用”会议以Jeff Hoffstein及其合作者和学生的研究为中心。 讨论的主题包括Weyl群多重Dirichlet级数的构造、凸性破缺、L-函数的非零结果、亚晶Eisenstein级数的Fourier-Whittaker系数的晶体图描述、L-函数积分矩的渐近性、θ函数与多重Dirichlet级数的惊人关系。会议为国际观众提供了机会，让他们在解析数论中的经典问题与自守形式和多重狄利克雷级数的最新突破之间进行思想交流。会议网址：http://math.umn.edu/~brubaker/jh2014c.html