Workshop on "Analysis on Homogeneous Spaces"

该奖项是对会议的部分支持，旨在促进那些将同质空间用于不同目的的人之间的互动。主要关注的是从事表示理论工作的人和从事几何分析及相关领域工作的人之间的互动。证明瑟斯顿几何猜想和庞加莱猜想的最新进展突出了齐次空间对于研究三维流形和Ricci流的重要性。Ricci流方法还有可能帮助理解物理学中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为广义相对论中爱因斯坦方程的更理想化的Friedmann-Robertson-Walker齐次解。

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.