Automorphic Forms Workshop

该奖项将支持将于2013年3月11日至14日在爱尔兰都柏林的都柏林大学学院举行的第27届自同构形式及相关话题年度研讨会。资金将用于支付出席会议的美国与会者的旅费。联合组织者包括伊利诺伊大学的斯科特·阿尔格伦、CNRS的杰里米·洛夫乔伊和都柏林大学学院的罗伯特·奥斯本。更多信息可以在研讨会的网站上找到：自同构形式Workshop。几个世纪以来，自同构形式在数学中扮演着不同的重要角色。多年来，人们发现自同构形式在数论、表示论、组合学、数学物理、李论、几何学等领域有着深刻的交织。20世纪和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，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。重要的新型自同构形式仍在被发现，例如位于Ramanujan模拟theta函数背后的调和Maass形式。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。许多资深研究人员在他们职业生涯的某个时候参加过这个研讨会，许多人在AFW上做了他们的第一次会议演讲。妇女联合会一向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女性。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首次在北美以外的地区举行，这将为美国的初级参与者提供一个极好的机会，让他们以自同构的形式接触欧洲和英国的研究社区。

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.