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

近三十年来，解析数论有两个重大突破：高阶群上自同构形式的使用和多重狄利克雷级数的引入。围绕这两项突破的最新进展将于2014年7月14日至18日在希腊塞萨洛尼基的Perrotis学院举行。会议将由该领域的20位领导人发表演讲。本次会议的主要目的之一是通过提出开放的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。该奖项支持没有其他支持来源的美国博士后、研究生和研究人员的参与。“解析数论及其应用”会议集中在Jeff Hoffstein及其合作者和学生的研究上。讨论的主题包括与任何有限或仿射简化根相关的Weyl群多重狄利克雷级数的构造、l函数的凹凸破缺、非消失结果、用晶体图描述元爱森斯坦级数的傅立叶-惠特克系数、l函数的积分矩的渐近性以及函数与多重狄利克雷级数之间的惊人关系。会议为国际观众提供了在解析数论中的经典问题与自同构形式和多重狄利克雷级数的最新突破之间进行思想交流的机会。会议网站：http://math.umn.edu/~brubaker/jh2014c.html

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