Automorphic forms and L-functions on higher rank groups

高阶群上的自同构形式和 L 函数

• 批准号: 1303245
• 负责人: Xiaoqing Li
• 金额: $ 18万
• 依托单位: SUNY at Buffalo
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-05-01 至 2018-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1303245&HistoricalAwards=false
• 关键词: Automorphic; forms; functions; higher; rank

The PI's work is motivated by problems in the theory of automorphic forms and L-functions on higher rank groups. The main topics of research are on restriction theorems, zero free region for Rankin-Selberg L-functions and equidistributions of horospheres on higher rank groups. The projects that the PI pursues not only have fundamental theoretical values, but also have important applications. The research will provide new bridges among analytic number theory, representation theory and ergodic theory. This introduces interesting subjects for experts in different fields. One would hope the interaction of these three different fields would produce fruitful results in the future.

PI的工作动机是问题的理论自守形式和L-功能的更高级别的群体。主要研究内容包括：限制定理、Rankin-Selberg L-函数的零自由区域和高阶群上半球的等分布。 PI追求的项目不仅具有基础理论价值，而且具有重要的应用价值。 该研究将为解析数论、表示理论和遍历理论之间的联系提供新的桥梁。 这为不同领域的专家介绍了有趣的主题。人们希望这三个不同领域的互动在未来会产生丰硕的成果。