Relative Trace Formula and Its Applications

相对微量公式及其应用

• 批准号: 9971003
• 负责人: Zhengyu Mao
• 金额: $ 6.38万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-08-01 至 2003-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9971003&HistoricalAwards=false
• 关键词: Relative; Trace; Formula; Its; Applications

9971003This work concerns problems in the Langlands program. The PI and S. Rallis will study the combined use of relative trace formulas and theta liftings in the theory of functorial liftings. The PI with M. Baruch will study the local theory of relative trace formulas and its application to central values of automorphic L-functions.This research is in the area of number theory. Number theory has its historical roots in the study of natural numbers. It is among the oldest branches of mathematics. Within the last half century it has become an indispensible tool in diverse applications in areas such as data transmission and processing, and communication systems.

9971003这项工作涉及朗兰兹计划中的问题。 PI 和 S. Rallis 将研究函子提升理论中相对迹公式和 theta 提升的结合使用。 PI 与 M. Baruch 将研究相对迹公式的局域理论及其在自守 L 函数中心值中的应用。这项研究属于数论领域。 数论的历史根源在于自然数的研究。 它是数学最古老的分支之一。 在过去的半个世纪中，它已成为数据传输和处理以及通信系统等领域的各种应用中不可或缺的工具。