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

本提案是为了支持美国参加将于2011年6月20日至23日在台湾新竹国家理论科学中心（NCTS）举行的“伽罗瓦表示、自守形式和志村变种国际会议”。本次会议的目的是展示伽罗瓦表示的多方面及其相互联系。受邀的演讲者包括专家工作的非一致性模块化形式，超越理论的功能领域，p-adic霍奇理论，模块化的伽罗瓦表示，自守表示，L-功能，和算术的志村品种。从理论和计算两个方面介绍了伽罗瓦表示、自同构形式和志村簇算术的最新进展和应用。在这次会议之前，Henri Darmon将提供一个关于“代数循环和p-adic变形”的短期课程，以帮助学生做好准备。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活动，以促进对更有重点的主题进行进一步的研究讨论。会议期间的演讲幻灯片将发布在NCTS的网站上。伽罗瓦表示的研究主题在怀尔斯证明费马最后定理之后引起了极大的关注。怀尔斯的证明在数学的几个重要领域之间开辟了新的联系，从分析和组合数论到算术几何。会议的主题侧重于这些主题之间的互动。 希望通过这类活动促进国际合作，从而进一步加深这些研究领域之间的联系。有关会议的更多信息，请访问网站http：//www.example.com。math.cts.nthu.edu.tw/Mathematics/GRAFSV2011.htm