Whittaker functionals of automorphic forms

自守形式的 Whittaker 泛函

• 批准号: 1400063
• 负责人: Zhengyu Mao
• 金额: $ 16万
• 依托单位: Rutgers University Newark
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-06-01 至 2018-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1400063&HistoricalAwards=false
• 关键词: Whittaker; functionals; automorphic; forms

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 indispensable tool in diverse applications in areas such as data transmission and processing, and communication systems.The proposal centers on the theory of automorphic forms. The main goal of the proposal is to establish a quantitative refinement of the Gross-Prasad conjecture, in the special case of Whittaker functionals. The conjecture can be viewed as a far-reaching local to global principle for period integrals. The PI will also extend the techniques developed to study the general case of Gross-Prasad conjecture.

这项研究属于数论领域。数论的历史根源在于对自然数的研究。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各种应用领域不可或缺的工具。这个建议以自同构形式理论为中心。该提案的主要目标是在Whittaker泛函的特殊情况下，建立Gross-Prasad猜想的定量细化。这个猜想可以看作是周期积分的一个意义深远的局部到全局原理。PI还将扩展开发的技术来研究Gross-Prasad猜想的一般情况。