Mathematical Sciences: Automorphic Forms Associated to Symmetric Pairs

数学科学：与对称对相关的自同构形式

• 批准号: 9401013
• 负责人: Stephen Rallis
• 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: Continuing grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 2000-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401013&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Automorphic; Forms; Associated

Rallis This award supports the research of Professor S. Rallis to work in automorphic functions. He intends to work on applications of the trace formula to special values of L-functions. He also intends to study dual reductive pairs in exceptional groups. Modular forms arose out of Non-Euclidean geometry in the middle of the nineteenth century. Both mathematicians and physicists have thus long realized that many objects of fundamental importance are non-Euclidean in their basic nature. This field is principally concerned with questions about the whole numbers, but in its use of geometry and analysis, it retains connection to its historical roots and thus to problems in areas as diverse as gauge theory in theoretical physics and coding theory in information theory. ***

拉利斯 该奖项支持S教授的研究。拉利斯在自守函数中工作。 他打算工作的应用程序的跟踪公式的特殊价值的L-职能。他还打算研究特殊群中的对偶约化对。 模形式产生于世纪中期的非欧几何。 因此，数学家和物理学家早就认识到，许多具有根本重要性的对象在其基本性质上是非欧几里德的。 这一领域主要关注的是关于整数的问题，但在几何和分析的应用中，它保留了与其历史根源的联系，从而与理论物理中的规范理论和信息论中的编码理论等不同领域的问题保持联系。***