Arithmetic of Function Fields

关于“函数场的算术”的会议将于2017年6月26日至30日在德国明斯特大学举行。本次会议的目的是汇集国际专家在各种领域的算术几何，自同构形式，和函数场算术。会议的重点将是最近在德林菲尔德模空间理论、德林菲尔德模形式及其应用方面的惊人发展。希望在同一地点和同一时间有大量对函数场算法持不同观点的研究人员能够阐明该领域内以前未被注意到的联系，从而促进未来的发展。会议的组织者将作出巨大努力，确保大量初级研究人员和代表性不足的群体的积极参与。自20世纪70年代出现以来，德林菲尔德模空间对朗兰兹规划产生了巨大的影响，导致了函数场上全局和局部朗兰兹猜想的成功解决。在过去的几年里，函数场算法有了爆炸性的发展，在自同构形式的l函数的高阶导数的特殊值、Carlitz-Goss l函数的特殊值和Drinfeld模形式上有了许多惊人的结果。此外，在函数场算法的不同主题之间，如特征p - zeta函数的特殊值、Drinfeld模形式的变形和Fontaine理论的函数场模拟之间，还发现了新的诱人的联系。在这些作品中，德林菲尔德模空间发挥了突出的作用。这些发展，以及未来可能的研究方向，将由本次会议的特邀演讲者讨论，希望能激励新一代参与到数论这个重要而活跃的领域中来。会议网站：http://wwwmath.uni-muenster.de/sfb878/activities/AFF_announce.html

A conference on "Arithmetic of Function Fields" will take place June 26-30, 2017, at the University of Muenster, Germany. The purpose of this conference is to bring together international experts in a variety of areas of arithmetic geometry, automorphic forms, and function field arithmetic. The emphasis of the conference will be on recent spectacular developments in the theory of Drinfeld moduli spaces, Drinfeld modular forms, and their applications. It is hoped that having at the same place and time a large number of researchers with different viewpoints on function field arithmetic will illuminate previously unnoticed connections within the area, thus facilitating future progress. The organizers of the conference will make a strong effort to ensure an active participation of a large number of junior researchers and underrepresented groups. Since their emergence in 1970s, Drinfeld moduli spaces had a tremendous impact on the Langlands program leading to a successful resolution of the global and local Langlands conjectures over function fields. Over the last few years, there has been an explosion of activity in function field arithmetic, with many spectacular results on special values of higher derivatives of L-functions of automorphic forms, special values of Carlitz-Goss L-functions, and Drinfeld modular forms. Moreover, new tantalizing connections have been discovered between different topics of function field arithmetic, such as special values of characteristic p zeta functions, deformations of Drinfeld modular forms, and function field analogue of Fontaine's theory. In many of these works, Drinfeld moduli spaces play a prominent role. These developments, along with possible future directions of research, will be addressed by the invited speakers of this conference with the hope to inspire new generations to take part in this important and very active area of Number Theory. Conference website: http://wwwmath.uni-muenster.de/sfb878/activities/AFF_announce.html