Automorphic Forms Workshop 2014, May 12-16 2014

自守形式研讨会 2014，2014 年 5 月 12-16 日

• 批准号: 1404066
• 负责人: Paul Jenkins
• 金额: $ 2.15万
• 依托单位: Brigham Young University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-03-15 至 2015-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1404066&HistoricalAwards=false
• 关键词: Automorphic; Forms; Workshop; 2014; May

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.

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届年度自守形式研讨会（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、达林杜德和保罗詹金斯。自守形式在当代数论中发挥了核心作用，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，组合数学，数学物理，李学和几何学。近几十年来一些最令人印象深刻的突破，如Borcherds对月光猜想的证明，怀尔斯对费马大定理的解决，以及Chau对基本引理的证明，本质上都是自守的。因此是许多其他著名的martutures，如那些朗兰兹和布洛赫-加藤，这仍然开放，以及塞尔和佐藤-泰特，其证明最近已出版或宣布。重要的自守形式的新的家庭仍然被发现，如谐波马斯形式和模拟模块形式背后的拉马努金的模拟θ函数。这次会议包括从整个数学的这个重要领域的会谈。AFW通过其欢迎和指导该地区的初级研究人员的传统，在社会中发挥着重要作用。许多高级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的研究生中进行了他们的第一次会议演讲。该研讨会导致了许多研究合作和研究论文，会议传统上包括旨在促进初级参与者数学生涯的主题的小组讨论。此外，AFW一直享有欢迎妇女和其他代表性不足群体成员的声誉;历史上，很大比例的参与者是妇女。AFW吸引了来自世界各地，来自不同职业阶段和不同类型大学的参与者。