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

在过去的三十年里，解析数论取得了两项重大突破：在高阶群上使用自同构形式，以及多重狄利克莱级数的引入。2014年7月14日至18日，将在希腊塞萨洛尼基的佩罗蒂斯学院举行一次会议，重点讨论围绕这两项突破的最新进展。这次会议将由该领域的20位领导人发表演讲。这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前沿。该奖项支持在美国的博士后、研究生和没有其他支持来源的研究人员的参与。“解析数理论及其应用”会议的中心是杰夫·霍夫斯坦及其合作者和学生的研究。讨论的主题包括：与任何有限或仿射约化根系相联系的Weyl群多重Dirichlet级数的构造，L函数的破凸性，非零化结果，亚二次Eisenstein级数的傅里叶-惠特克系数的晶图描述，L函数积分矩的渐近性，以及theta函数与多重Dirichlet级数之间令人惊讶的关系。这次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莱级数的最新突破之间进行思想交流的机会。会议网址：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