Automorphic Forms Workshop

自守形式研讨会

• 批准号: 1303169
• 负责人: Scott Ahlgren
• 金额: $ 1.8万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1303169&HistoricalAwards=false
• 关键词: Automorphic; Forms; Workshop

This award will support the 27th annual Workshop on Automorphic Forms and Related Topics, to be held March 11--14, 2013, at University College Dublin in Dublin, Ireland. Funds will be used to defray travel costs of US-based attendees at the conference. The co-organizers are Scott Ahlgren (University of Illinois), Jeremy Lovejoy (CNRS, Paris 7), and Robert Osburn (University College Dublin). Additional information can be found on the workshop website: automorphicformsworkshop.orgAutomorphic forms have played diverse and important roles in mathematics for centuries. Over the years, it has been found that automorphic forms are deeply entwined in number theory, representation theory, combinatorics, mathematical physics, Lie theory, geometry, and other areas. Some of the most spectacular scientific breakthroughs in the 20th and 21st century, 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 types of automorphic forms are still being discovered, such as the harmonic Maass forms which lie behind Ramanujan's mock theta functions.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 come through the workshop at some point in their career, and many gave one of their first conference talks at an AFW. 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, and the workshop has led to many research collaborations and research papers. This will mark the first time that the AFW has been held outside of North America, which will provide junior US-based participants an excellent opportunity for exposure to the European and British research communities in automorphic forms.

该奖项将支持第27届自守形式及相关主题年度研讨会，将于2013年3月11日至14日在爱尔兰都柏林的大学学院都柏林举行。 资金将用于支付美国与会者的差旅费。 共同组织者是斯科特Ahlgren（伊利诺伊大学），杰里米洛夫乔伊（CNRS，巴黎7）和罗伯特奥斯本（大学学院都柏林）。更多信息可以在研讨会网站上找到：automorphicformsworkshop. org几个世纪以来，自守形式在数学中扮演着各种各样的重要角色。 多年来，人们发现自守形式在数论、表示论、组合数学、数学物理、李学、几何学和其他领域都有着深刻的影响。 在20和21世纪，一些最引人注目的科学突破，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，在本质上都是自守的。 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类型仍在被发现，如谐波马斯形式背后拉马努金的模拟theta函数。AFW通过其欢迎和指导该地区初级研究人员的传统，在社区中发挥着重要作用。 许多高级研究人员在他们职业生涯的某个阶段都参加过研讨会，许多人在AFW上进行了他们的第一次会议演讲。AFW一直对妇女和其他代表性不足的群体成员享有欢迎的声誉。 从历史上看，参与者中有很大比例是妇女。 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，研讨会促成了许多研究合作和研究论文。这将标志着AFW首次在北美以外举行，这将为美国的初级参与者提供一个以自守形式接触欧洲和英国研究界的绝佳机会。