Mathematical Sciences: Relative Trace Formulas

数学科学：相对微量公式

• 批准号: 9403538
• 负责人: Herve Jacquet
• 金额: $ 14.93万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9403538&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Relative; Trace; Formulas

Jacquet This award funds the continuing work of Professor Herve Jacquet in the Langland's program. In particular Prof. Jacquet will investigate certain period integrals. The major problem is to classify the automorphic representations of a particular group that are distinguished for a subgroup. 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. ***

Jacquet 该奖项资助埃尔韦雅克教授在朗兰计划中的持续工作。 特别是Jacquet教授将研究某些周期积分。 主要的问题是分类的自守表示的一个特定的群体，区分为一个子群。 数论是研究整数的性质，是数学最古老的分支。从一开始，数论中的问题就为这门学科的几乎所有部分的新数学的创造提供了动力。朗格兰纲领是一种将数论与微积分联系起来的一般哲学。 现代数论是非常技术性和深刻的，但它在理论计算机科学和编码理论等领域有着惊人的应用。 ***