The 29th Automorphic Forms Workshop

第29届年度自形态研讨会(AFW)将于2015年3月2日至5日在密歇根大学安娜堡分校举行。在过去的三十年里，AFW建立了作为国际公认的、备受尊敬的会议的声誉，顶尖专家和初级研究人员都参加了会议。该研讨会以其包容、支持的氛围而闻名。从历史上看，大约一半的演讲是由处于职业生涯早期的数学家所做的。此外，该讲习班让妇女和其他代表性不足群体的成员参与自形形式社区的做法由来已久，并有助于建立研究联系。研讨会促成了许多合作和研究论文。此外，研讨会传统上包括小组讨论，主题旨在促进初级参与者的数学职业生涯。该奖项支持参加包括学生在内的20位美国早期数学家的研讨会。更多信息可以在工作坊的网站上找到：自同构形式，以各种形式，在现代数论中具有核心意义，并阐明了数论与其他数学学科之间的深刻联系，包括编码论、数学物理、表示论和拓扑学。20世纪一些最显著的数学突破，例如怀尔斯的费马大定理的证明，广泛使用了自同构形式。此外，一些著名的猜想，如朗兰兹和布洛赫-加藤的猜想，本质上是自同构的。许多重要的自同构形式直到最近才被发现，例如调和Maass形式和作为Ramanujan的模拟theta函数基础的模拟模形式。第29届AFW将以自同构形式的所有方面为特色，特别强调模拟模块形式及其应用。研讨会将重点介绍该领域的最新发展，并促进未来的研究进展。

The 29th Annual Automorphic Forms Workshop (AFW) will be held March 2-5, 2015 at the University of Michigan in Ann Arbor, Michigan. Over the past three decades, the AFW has built a reputation as an internationally-recognized, well-respected conference attended by leading experts and junior researchers alike. The workshop is known for its inclusive, supportive atmosphere. Historically, about half of the presentations are given by mathematicians at early stages of their careers. Additionally, the workshop has a long history of involving women and members of other underrepresented groups in the automorphic forms community and facilitating the establishment of research connections. The workshop has led to many collaborations and research papers. Moreover, the workshop traditionally includes panel discussions on topics designed to further the mathematical careers of junior participants. This award supports participation in the workshop of twenty early-career U.S.-based mathematicians, including students. Additional information can be found at the workshop's website: automorphicformsworkshop.org.Automorphic forms, in all of their various guises, are of central importance in modern number theory and illuminate deep connections between number theory and other mathematical disciplines including coding theory, mathematical physics, representation theory and topology. Some of the most remarkable mathematical breakthroughs of the 20th century, for instance Wiles' proof of Fermat's Last Theorem, made extensive use of automorphic forms. Moreover, several celebrated conjectures, such as those of Langlands and Bloch-Kato, are automorphic in nature. Many important classes of automorphic forms have only recently been discovered, for instance the harmonic Maass forms and mock modular forms that underlie Ramanujan's mock theta functions. The 29th AFW will feature talks on all aspects of automorphic forms with a special emphasis on mock modular forms and their applications. The workshop will highlight recent developments in the field and catalyze future research progress.