L-functions and Arithmetic

L 函数和算术

• 批准号: 1601028
• 负责人: Barry Mazur
• 金额: $ 4.9万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-04-01 至 2018-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1601028&HistoricalAwards=false
• 关键词: functions; Arithmetic

During the period June 13-16, 2016, Harvard University will host a conference in pure mathematics on the theme of L-functions and Arithmetic. The purpose of the conference is to gather together leading experts and young researchers to discuss recent developments on the connections between analytic and algebraic aspects of number theory and arithmetic geometry. Such research has applications to cyber security, through cryptography, and to some aspects of coding theory. A significant portion of NSF funding will be used to fund the travel and housing of junior participants (e.g. graduate students and postdocs). Over the four days of the conference there will be seventeen lectures by experts in number theory and arithmetic geometry. The conference program will focus on recent developments in (commutative and noncommutative) Iwasawa theory; the construction of new Euler systems for Galois representations; Stark's conjecture and the equivariant Tamagawa number conjecture; p-adic interpolation of modular forms, Selmer groups, and L-values; and recent breakthroughs in the study of average behaviors of class groups, Selmer groups, and Mordell-Weil groups.See:http://abel.harvard.edu/conferences/rubin16/index.html

在2016年6月13日至16日期间，哈佛大学将举办一个纯数学会议，主题是L-函数和算术。 会议的目的是聚集领先的专家和年轻的研究人员，讨论数论和算术几何的分析和代数方面之间的联系的最新发展。 这种研究通过密码学和编码理论的某些方面应用于网络安全。 NSF资金的很大一部分将用于资助初级参与者（例如研究生和博士后）的旅行和住房。 在为期四天的会议将有十七个讲座的专家在数论和算术几何。 会议计划将集中在（交换和非交换）Iwasawa理论的最新发展; Galois表示的新Euler系统的构建; Stark猜想和等变Tamagawa数猜想;模形式，塞尔默群和L值的p-adic插值;以及类群，塞尔默群和Mordell-Weil群的平均行为研究的最新突破。见：http://abel.harvard.edu/conferences/rubin16/index.html