Mathematical Sciences: Iwasawa Theory

数学科学：岩泽理论

• 批准号: 9203225
• 负责人: Ralph Greenberg
• 金额: $ 9.46万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-01 至 1995-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9203225&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Iwasawa; Theory

Professor Greenberg will work on several problems connected with a generalized Iwasawa theory. He intends to study the Selmer group in certain infinite extensions of the rational numbers and in certain families of p-adic representations. This project falls into the general area of arithmetic geometry - a subject that blends two of the oldest areas of mathematics: number theory and geometry. This combination has proved extraordinarily fruitful - having recently solved problems that withstood generations. Among its many consequences are new error correcting codes. Such codes are essential for both modern computers (hard disks) and compact disks.

格林伯格教授将研究几个有关的问题 广义岩泽理论他打算研究塞尔默号 群在有理数的某些无限扩展中， 在某些p-adic表示族中。 这个项目福尔斯属于算术的一般范畴 几何学-一个融合了两个最古老的领域的主题， 数学：数论和几何。 这种组合有 被证明是非常富有成效的-最近解决了一些问题 经受住了几代人的考验 在其众多后果中， 纠错码 这些准则对现代和 计算机（硬盘）和光盘。