Automorphic Forms Workshop 2014, May 12-16 2014

该奖项支持将于2014年5月12日至16日在犹他州摩押举行的第28届年度自构形研讨会(AFW)。资金将用于支付与会者的旅费。组织者是杨百翰大学的大卫·卡登、达林·多德和保罗·詹金斯。自同构形式在当代数论中发挥着核心作用，与数学和数学科学的许多领域有着深刻的联系，包括表示论、组合学、数学物理、李理论和几何。近几十年来一些最令人印象深刻的突破，如BorCherds对Moonlight猜想的证明，Wiles对Fermat最后定理的解决，以及Chau对基本引理的证明，本质上是自同构的。许多其他著名的猜想也是如此，例如朗兰兹和布洛赫-加藤的猜想，以及塞雷和佐藤泰特的猜想，他们的证明最近已经发表或公布。重要的新的自同构形式族仍在被发现，例如调和Maass形式和隐藏在Ramanujan的模拟theta函数后面的模拟模形式。这次会议包括来自这一重要数学领域的演讲。AFW通过其欢迎和指导该领域的初级研究人员的传统，在社区中扮演着重要的角色。许多资深研究人员在他们职业生涯的某个时候参加了研讨会，许多数学家(包括两名PI)在AFW读研究生时做了第一次会议演讲。研讨会导致了许多研究合作和研究论文，会议传统上包括小组讨论，旨在促进初级参与者的数学职业生涯。此外，非洲妇女联合会一直以欢迎妇女和其他代表性不足群体的成员而闻名；从历史上看，参与者中有相当大比例是妇女。AFW吸引了来自世界各地、不同职业阶段和不同类型大学的参与者。

This award supports the 28th Annual Automorphic Forms Workshop (AFW), to be held May 12-16, 2014 in Moab, Utah. Funds will be used to cover travel costs of conference attendees. The organizers are David Cardon, Darrin Doud, and Paul Jenkins of Brigham Young University. Additional information can be found on the workshop website at automorphicformsworkshop.org.Automorphic forms have played a central role in contemporary number theory, with deep connections to many areas across mathematics and the mathematical sciences including representation theory, combinatorics, mathematical physics, Lie theory, and geometry. Some of the most impressive breakthroughs in recent decades, such as Borcherds' proof of the Moonshine Conjecture, the resolution of Fermat's Last Theorem by Wiles, and the proof of the Fundamental Lemma by Chau, are automorphic in nature. So are many other celebrated conjectures, such as those of Langlands and Bloch-Kato, which remain open, and those of Serre and Sato-Tate, whose proofs have recently been published or announced. Important new families of automorphic forms are still being discovered, such as the harmonic Maass forms and mock modular forms which lie behind Ramanujan's mock theta functions. This conference includes talks from throughout this important area of mathematics.The AFW serves an important role in the community through its tradition of welcoming and mentoring junior researchers in the area. Many senior researchers have attended the workshop at some point in their career, and many mathematicians (including two of the PIs) gave one of their first conference talks as graduate students at an AFW. The workshop has led to many research collaborations and research papers, and the conference traditionally includes panel discussions on topics designed to further the mathematical careers of junior participants. Additionally, the AFW has always had a welcoming reputation towards women and members of other underrepresented groups; historically, a substantial percentage of participants have been women. The AFW attracts participants from around the world, from different career stages, and from different types of universities.