Mathematical Sciences: Representation Theory and Analysis onHomogeneous Spaces

数学科学：齐次空间的表示论与分析

• 批准号: 9216987
• 负责人: Simon Gindikin
• 金额: $ 1.43万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-12-01 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9216987&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Representation; Theory; Analysis

This award supports a conference entitled: "Representation Theory and Analysis on Homogeneous Spaces". The conference will be held February 5-7, 1993, on the campus of Rutgers University, New Brunswick, New Jersey. The conference will be concerned with harmonic analysis on nilpotent and solvable Lie groups, representation theory of real reductive Lie groups, representations of p-adic groups, infinite-dimensional Lie algebras and groups, discrete groups, and spectral theory of invariant differential operators on homogeneous spaces with applications to local solvability and regularity of more general differential operators. The purpose of the conference is to create an environment for cross-fertilization among the above-named subfields of "non-abelian harmonic analysis" and to emphasize the connections between them.

该奖项支持一个题为“同质空间的表征理论与分析”的会议。会议将于1993年2月5日至7日在新泽西州新不伦瑞克的罗格斯大学校园举行。会议将涉及幂零可解李群的调和分析，实约李群的表示理论，p进群的表示，无限维李代数与群，离散群，齐次空间上不变微分算子的谱理论及其在更一般微分算子的局部可解性和正则性中的应用。会议的目的是在上述“非阿贝尔调和分析”的子领域之间创造一个相互促进的环境，并强调它们之间的联系。