Workshop on "Analysis on Homogeneous Spaces"

“均质空间分析”研讨会

• 批准号: 0628812
• 负责人: Philip Foth
• 金额: $ 1.98万
• 依托单位: University of Arizona
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-03-15 至 2008-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0628812&HistoricalAwards=false
• 关键词: Workshop; Analysis; Homogeneous; Spaces

This award is for partial support of conference with aims to foster interaction between those who use homogeneous spaces for different purposes. The primarily focuse is on the interaction between those who work on representation theory and those who work in geometric analysis and related fields. Recent progress toward a proof of Thurston's geometrization conjecture and the Poincare conjecture highlights the importance of homogeneous spaces to study three-dimensional manifolds and the Ricci flow. The Ricci flow approach has the potential also to help understand renormalization of nonlinear sigma models in physics as well as to smooth spatially inhomogeneous universes to more idealized Friedmann-Robertson-Walker homogeneous solutions to Einstein's equations in general relativity.

该奖项旨在部分支持会议，旨在促进那些出于不同目的使用同质空间的人之间的互动。主要的重点是那些谁的工作代表性理论和那些谁在几何分析和相关领域的工作之间的相互作用。 Thurston的几何化猜想和Poincare猜想的证明的最新进展突出了齐性空间对研究三维流形和Ricci流的重要性。里奇流方法也有可能帮助理解物理学中的非线性西格玛模型的重整化，以及将空间不均匀的宇宙平滑到广义相对论中爱因斯坦方程的更理想化的弗里德曼-罗伯逊-步行者齐次解。