22nd Annual Workshop on Automorphic Forms and Related Topics - College Station, TX

在过去的21年里，自同构形式及相关主题的年度研讨会一直是一个小型而友好的会议。参加会议的人有学生、新博士，也有知名的研究人员。对于年轻的研究人员，会议提供了支持和鼓励；对于有成就的研究人员，它提供了指导和建立网络的机会，以及交流思想的论坛。该研讨会因其高质量的研究讲座和对初级研究人员的支持氛围而获得国际认可。与会者的演讲涵盖了与自同构形式相关的所有领域，包括质量波形、椭圆曲线、西格尔和雅可比模形式、l函数的特殊值、随机矩阵、二次型、模形式的计算和应用等。这些主题是当前数论研究的前沿，它们在物理学、密码学和计算机科学等其他领域也有应用。除了对近期和正在进行的项目的研究报告外，本次研讨会将延续2003年开始的成功传统，即由专家推动/主持的讨论会议，讨论与初级教师相关的众多主题。近年来，主题包括“在哪里发表论文最好？”、“如何重启停滞不前的研究项目？”、“鼓励和留住女性和其他在数论社区中代表性不足的群体”等等。今年的研讨会将讨论以下主题：“如何启动和维持数学协作”；以及“自同构形式的研究将走向何方？”基本上所有的会议参与者都参加了这些讨论，并且制作了一份主要观点的书面摘要并张贴在研讨会上。年代的网站。

ABSTRACTOver the last 21 years, the Annual Workshop on Automorphic Forms and Related Topics has remained a small and friendly conference. Those attending range from students to new PhD's to well established researchers. For young researchers, the conference has provided support and encouragement; for accomplished researchers, it has provided the opportunity to mentor and build networks, as well as a forum for exchanging ideas. The workshop has become internationally recognized for both its high-quality research talks and its supportive atmosphere for junior researchers. Participants give presentations covering all areas related to automorphic forms, including Maass wave forms, elliptic curves, Siegel and Jacobi modular forms, special values of L-functions, random matrices, quadratic forms, computation and applications of modular forms, etc. These topics are among those at the cutting edge of current research in number theory, and they have applications in other fields such as physics, cryptography, and computer science, to name a few.In addition to research presentations on recent and on-going projects, this workshop will continue the successful tradition begun in 2003 of featuring discussion sessions, facilitated/moderated by experts, on numerous topics germane to junior faculty. In recent years, topics have included ``Where is it best to publish?", ``How to restart a stalled research program?", ``Encouraging and retaining women and other under-represented groups in the Number Theory community'', to name a few. This year, the Workshop will consider the following topics: "How to start and maintain mathematical collaboration"; and "Where is research on automorphic forms going?"These discussions are attended by essentially all the conference participants, and a written summary of the main points is produced and posted on the workshop?s website.