Local zeta functions and the arithmetic of moduli spaces

约翰霍普金斯大学数学系将于2017年3月22日至26日举办一场会议，围绕局部ζ函数和模空间算法研究的重大最新进展进行组织。这些研究领域应用于密码学和数学物理（弦理论和规范理论）。会议的目标之一是将这两个领域的研究人员聚集在一起，以便他们进行建设性的互动。第二个目标是鼓励年轻的研究人员参与这些发展。NSF资金的很大一部分将用于资助初级参与者（如研究生和博士后）的旅行和住房。由于20世纪90年代中期引入了动机局部zeta函数，局部zeta函数的研究经历了一场戏剧性的革命。这导致了许多重要的发展，将在会议上讨论，包括（除其他外）代数变量上有理点的高度界限，与模型论的联系，以及与朗兰兹纲领的联系。上述与低格曲线及其雅可比矩阵相关的动机的新兴研究以及与西格尔模形式的关系密切相关。会议还将探讨低维阿贝尔变种的模与双几何的联系。本次会议将在5天内邀请22位嘉宾进行演讲。见:http://www.math.jhu.edu/jami2017/

The mathematics department at Johns Hopkins University will host a conference from March 22-26, 2017, to be organized around significant recent developments in the study of local zeta functions and the arithmetic of moduli spaces. These research areas have applications to cryptography and to mathematical physics (string theory and gauge theory). One goal of the conference is to bring together researchers in these two areas so that they will constructively interact. A second goal is to encourage young researchers to participate in these developments. A significant portion of NSF funding will be used to fund the travel and housing of junior participants (e.g. graduate students and postdocs). The study of local zeta functions has undergone a dramatic revolution thanks to the introduction of motivic local zeta functions in the mid-1990s. This has led to many important developments that will be discussed at the conference, including (among others) bounds for heights of rational points on algebraic varieties, connections with model theory, and connections with the Langlands program. The above is closely entwined with the emerging study of motives associated to low genus curves and their Jacobians, and relations with Siegel modular forms. The conference will also explore connections with birational geometry of moduli of abelian varieties of low dimension. The conference will feature 22 invited lectures over five days. See: http://www.math.jhu.edu/jami2017/