Mathematical Sciences: Representation Theory and Automorphic Forms

数学科学：表示论和自守形式

• 批准号: 9401176
• 负责人: Birgit Speh
• 金额: $ 18.07万
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-06-01 至 1997-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401176&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Representation; Theory; Automorphic

9401176 Speh/Barbasch Speh will continue her joint work with Rohlfs on cuspidal cohomology. She also will investigate the analytic torsion of locally symmetric spaces. In joint work the PI's will study the residual spectrum of the split orthogonal and symplectic group. Barbasch will continue his research on unipotent representations for real groups, in particular their character theory and unitarity. He also will study spherical unitary dual for split p- adic groups. 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. ***

9401176 Speh/Barbasch Speh将继续她与Rohlfs的尖点上同调的联合工作。 她还将调查分析扭转局部对称空间。 在联合工作中，PI将研究分裂正交辛群的剩余谱。 Barbasch将继续他的研究对unipotent表示为真实的团体，特别是他们的性格理论和统一。 他还将研究球面酉对偶分裂p进群。 李群理论是以挪威数学家Sophus Lie的荣誉命名的，是世纪数学的重要课题之一。 李群表示论作为利用系统中固有对称性的数学工具，对数学本身，特别是分析和数论，以及理论物理学，特别是量子力学和基本粒子物理学产生了深远的影响。 ***