U.S.-Germany Cooperative Research on Spectral Theory

9722779 Olafsson这是一项国际合作，涉及PI、三位共同PI（爱荷华大学的Thomas Branson和Palle Jorgensen，俄勒冈大学的Peter Gilkey）以及德国、法国、挪威和丹麦的研究人员。本研究将尝试解决现代分析处理中的一些问题，特别是关于李群、齐次空间和更一般流形的光谱理论的几何和分析方面。该奖项旨在促进一个专注于上述领域的强烈互动研究项目，这也将允许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（两个在德国，一个在其他国家），所有的主题都是相关的，并且在小组之间将有广泛的相互作用。要研究的问题是由当前的问题在数学物理的动机，他们的解决方案将是一个实质性的补充，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.