RUI: Spherical Characters and the Trace Formula for Adelic Symmetric Spaces

RUI：球形特征和Adelic对称空间的迹公式

• 批准号: 9401719
• 负责人: Cary Rader
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-01-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401719&HistoricalAwards=false
• 关键词: RUI; Spherical; Characters; Trace; Formula

Rader This award supports the work of Professor Cary Rader in the general field of Number Theory, in particular the Langland's program. Professor Rader is attempting to develop a local harmonic analysis along the lines of Rallis and Jacquet. This will provide additional tools to the study of automorphic forms. Number Theory is the study of the properties of the whole numbers and is the oldest branch of mathematics. From the beginning problems in number theory have furnished the driving force to creation of new mathematics in almost all parts of the discipline. The Langland's program is a general philosophy that connects number theory with calculus. Modern number theory is very technical and deep, but it has had astonishing applications in areas like theoretical computer science and coding theory. ***

Rader 该奖项支持教授卡里雷德在 数论的一般领域，特别是朗兰的 程序. 雷德教授正试图开发一种 沿着Rallis和Jacquet的路线进行谐波分析。 这 将为自守形式的研究提供额外的工具。 数论是研究整数的性质 是数学最古老的分支。从一开始 数论中的一些问题为 几乎在世界的所有地方都创造了新的数学。 纪律朗兰纲领是一种普遍的哲学， 把数论和微积分联系起来 现代数论是 技术性很强，也很深奥，但它有着惊人的应用 在理论计算机科学和编码理论等领域。 ***