U.S.-Germany Cooperative Research on Spectral Theory

9722779 Olafsson这是一项国际合作，涉及PI，三个共同PI（托马斯布兰森和Palle Jorgensen，U。来自爱荷华州的彼得·吉尔基和来自美国加州大学的彼得·吉尔基。（美国俄勒冈州）以及德国、法国、挪威和丹麦的研究人员。 该研究将试图解决现代分析中的一些问题，特别是李群，齐性空间和更一般的流形上的谱理论的几何和分析方面。 该奖项预计将促进一个强有力的互动研究计划，重点放在所述领域，这也将使研究生参与国际合作。 虽然研究计划设想了五个独立的研究小组（德国两个，其他国家各一个），但所有的主题都是相关的，各小组之间将有广泛的相互作用。 要研究的问题是由当前的数学物理问题的动机，他们的解决方案将是一个实质性的除了该领域。

9722779 Olafsson This is an international collaboration that involves the PI, three co-PIs (Thomas Branson and Palle Jorgensen, U. of Iowa; and Peter Gilkey, U. of Oregon) and researchers in Germany, France, Norway, and Denmark. The research will attempt to solve a number of problems in modern analysis dealing, in particular with geometric and analytic aspects of spectral theory on Lie groups, homogeneous spaces, and more general manifolds. This award is expected to promote a strongly interactive research program focusing on the stated areas, that will also allow graduate students to participate in the international collaboration. Although the research plan envisions five separate research groups (two in Germany, and one in each of the other countries), all of the topics are related, and there will be extensive interplay among the groups. The problems to be studied are motivated by current questions in mathematical physics, and their solution will be a substantial addition to that field.