International Conference on Galois Representations, Automorphic Forms and Shimura Varieties

伽罗瓦表示、自同构形式和 Shimura 簇国际会议

• 批准号: 1134046
• 负责人: Wen-Ching Li
• 金额: $ 1.41万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-06-15 至 2012-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1134046&HistoricalAwards=false
• 关键词: International; Conference; Galois; Representations; Automorphic

This proposal is to support US participants to "An international conference on Galois representations, automorphic forms and Shimura varieties" which will take place during June 20-23, 2011, at the National Center for Theoretical Sciences (NCTS), Hsinchu, Taiwan. The purpose of this conference is to showcase the multi-facets of Galois representations and their inter-connections. The invited speakers include experts working on noncongruence modular forms, transcendence theory over function fields, p-adic Hodge theory, modularity of Galois representations, automorphic representations, L-functions, and arithmetic of Shimura varieties. Recent advances in and applications of Galois representations, automorphic forms and arithmetic of Shimura varieties, from theoretical and computational aspects, will be addressed. Preceding this conference, Henri Darmon will offer a short course on "Algebraic cycles and p-adic deformations" to prepare the students. Two accompanying special day activities on noncongruence modular forms and arithmetic geometry will be held after the conference to facilitate further research oriented discussions on more focused subjects. The slides of talks during the conference will be posted on the website of NCTS.The research topics on Galois representations has generated a tremendous attention after Wiles' proof of Fermat's last theorem. Wiles' proof opened up new connections among several important areas of mathematics, from analytic and combinatorial number theory to arithmetic geometry. The topics of the conference focuses on the interaction among these topics. It is hoped that international collaborations will be fostered through this kind of activities leading to further and deeper connections among these research fields. More information about the conference can be found at the websitehttp://math.cts.nthu.edu.tw/Mathematics/GRAFSV2011.htm

该提案旨在支持美国与会者参加“伽罗瓦表示、自同构形式和 Shimura 簇国际会议”，该会议将于 2011 年 6 月 20 日至 23 日在台湾新竹国家理论科学中心 (NCTS) 举行。这次会议的目的是展示伽罗瓦表示的多方面及其相互联系。受邀演讲者包括研究非同余模形式、函数域超越理论、p-adic Hodge 理论、伽罗瓦表示模性、自同构表示、L 函数和 Shimura 簇算术的专家。将从理论和计算方面讨论伽罗瓦表示、自同构形式和 Shimura 簇算术的最新进展和应用。在这次会议之前，Henri Darmon 将开设一门关于“代数环和 p 进数变形”的短期课程，为学生做好准备。会议结束后将举行两个关于非全等模形式和算术几何的特别日活动，以促进针对更集中的主题进行进一步的研究型讨论。会议期间的演讲幻灯片将在NCTS网站上发布。 自Wiles证明费马大定理后，伽罗瓦表示的研究课题引起了极大的关注。怀尔斯的证明在数学的几个重要领域（从解析数论和组合数论到算术几何）之间开辟了新的联系。会议的主题集中于这些主题之间的互动。 希望通过此类活动促进国际合作，使这些研究领域之间的联系更加深入。有关会议的更多信息，请访问网站http://math.cts.nthu.edu.tw/Mathematics/GRAFSV2011.htm