Mathematical Sciences: Analysis on Homogeneous Spaces, C*-algebraic Index Theory

该奖项支持罗纳德·l·利普斯曼和乔纳森·m·罗森伯格的研究。总体而言，学者们将继续各自在群表示理论、齐次空间分析和代数指标理论方面的工作。利普斯曼将研究对称空间和其他齐次空间的谱和多重性。Rosenberg将使用算子代数来研究流形和类似空间上的指数理论和几何。这项研究是现代分析的一般领域，在这些空间上的函数空间和算子被检查以获得几何和分析的见解。

This award support the research of Ronald L. Lipsman and Jonathan M. Rosenberg. In general, the scholars will continue their respective work in group representation theory, analysis on homogeneous spaces and algebraic index theory. Lipsman will study the spectra and multiplicities of symmetric spaces and other homogeneous spaces. Rosenberg will use operator algebras to study index theory and geometry on manifolds and similar spaces. This research is in the general area of modern analysis where spaces of functions and operators on those spaces are examined to achieve both geometric and analytic insights.