Representation Theory and Automorphic Forms

表示论和自守形式

• 批准号: 9706758
• 负责人: Birgit Speh
• 金额: $ 23.31万
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-06-01 至 2002-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9706758&HistoricalAwards=false
• 关键词: Representation; Theory; Automorphic; Forms

ABSTRACT Speh/Barbasch In joint work the PI's will study the residual spectrum of the split classical groups. Barbasch will continue his research on unipotent representations for both real and p-adic groups, in particular their character theory and unitarity. Speh will continue her work with J.Rohlfs on the stabilisation of geometric invariants of locally symmetric spaces. The theory of Lie groups, named in honor of the Norwegian mathematician Sophus Lie, has been one of the major themes in twentieth century mathematics. As the mathematical vehicle for exploiting the symmetries inherent in a system, the representation theory of Lie groups has had a profound impact upon mathematics itself, particularly in analysis and number theory, and upon theoretical physics, especially quantum mechanics and elementary particle physics.

在联合工作中，PI将研究分裂经典群的残差谱。Barbasch将继续研究实群和p进群的单能表征，特别是它们的特征理论和统一性。Speh将继续与J.Rohlfs一起研究局部对称空间几何不变量的稳定性。李群理论是为了纪念挪威数学家索夫斯·李而命名的，它一直是20世纪数学的主要主题之一。作为利用系统中固有对称性的数学工具，李群表示理论对数学本身，特别是分析和数论，以及理论物理，特别是量子力学和基本粒子物理产生了深远的影响。