Mathematical Sciences: Arithmetic Groups, P-adic Groups and Representation Theory

数学科学：算术群、P进群和表示论

• 批准号: 9104183
• 负责人: Mark Reeder
• 金额: $ 3.42万
• 依托单位: University of Oklahoma Norman Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9104183&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Arithmetic; Groups; adic

This project is concerned with two related problems in the representation theory of p-adic groups. One is concerned with finding invariants of certain compact open subgroups in admissible representations of reductive groups over local fields. The other is concerned with the relationship between the Steinberg module of an algebraic Q-group, and the cohomology of its arithmetic subgroups. This research is in the area of representation theory of p-adic groups. The principal investigator will try to find invariants which measure certain properties of these groups. This work would have important implications for the theory of automorphic forms. It will be of interest to algebraists and number theorists alike.

该项目涉及两个相关的问题， p-adic群的表示理论 一是关注 求某些可容许紧开子群的不变量 局部域上约化群的表示 另 的Steinberg模之间的关系， 代数Q-群及其算术上同调 分组。 本研究是在表征理论的领域， p-adic群 首席调查员会试图找到 测量这些群的某些性质的不变量。 这 这项工作将对 自守型 这将是感兴趣的代数学家和 数论家也是如此。