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这个奖项支持Cary Rader教授在数字理论的一般领域，尤其是Langland的计划。 Rader教授正试图沿Rallis和Jacquet的线路进行当地的谐波分析。 这将为自动形式的研究提供其他工具。 数字理论是对整数的性质的研究，是数学最古老的分支。从数量理论开始的问题从一开始就提供了驱动力，并在该学科的几乎所有部分都创建了新数学。兰兰（Langland）的计划是将数字理论与微积分联系起来的一般理念。 现代数字理论非常技术性和深刻，但在理论计算机科学和编码理论等领域中具有惊人的应用。 ***