Mathematical Sciences: Iwasawa Theory for p-adic representations

数学科学：p-adic 表示的 Iwasawa 理论

• 批准号: 8902190
• 负责人: Ralph Greenberg
• 金额: $ 12.53万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-15 至 1992-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8902190&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Iwasawa; Theory; adic

Professor Greenberg will continue his investigations of the properties of Selmer groups and their connections with values of certain L-functions that occur naturally in number theory and algebraic geometry. Three seemingly separate fields of modern mathematics meet in this project: Number Theory, Algebraic Geometry, and Analysis. Number Theory means the study of the whole numbers, static and discrete; Algebraic Geometry began with the study of the relations and motions of constructs like lines and planes, but has taken on an ever more abstract and algebraic tone in recent years; Analysis refers to that broad region of mathematics that is related to Calculus. That modern arithmetical algebraic geometry is drawing from these three fields and simultaneously making contributions to them is one of the most exciting developments in mathematics today.

格林伯格教授将继续研究 塞尔默群的性质及其与 某些在数量上自然出现的L函数的值 理论和代数几何。 现代数学的三个看似独立的领域相遇了 在这个项目：数论，代数几何，和 分析.数论是研究整数的理论， 静态和离散;代数几何开始与研究 像线和平面这样的结构的关系和运动， 但在这部作品中， 近年来;分析指的是广泛的区域 与微积分有关的数学。现代 算术代数几何就是从这三个 同时为他们做出贡献是一个 最激动人心的数学发展的一部分