U.S.-Western Europe Cooperative Research in Spectral Theory (Applied Mathematics)

该奖项支持教授托马斯P布兰森和Palle 爱荷华州大学的乔根森和宾夕法尼亚大学的彼得·吉尔基 俄勒冈州大学合作， 在德国有三个强大的数学研究小组 和丹麦。 他们的合伙人是Gestur Olafsson， 德国哥廷根大学 奥斯纳布吕克、本特·奥斯特、欧登塞大学和亨里克 Schlichtkrull，丹麦皇家皇家兽医和农业 大学 他们的合作是围绕六个 在一般领域内的主题“光谱理论。" 这些问题的部分动机是 数学物理和保形几何， 将采用现代分析方法， 偏微分算子 这个领域是 在欧洲的伟大活动，有许多强大的团体和 长期的研究传统提供了多样化的 美国参与的机会。 在这 合作项目，美国参与者提供 “硬分析”和几何中的技术力量 方面，而欧洲集团带来了巨大的优势 不变性分组方法。 光谱理论是数学基础的所有 涉及光谱的科学工作，从 从光和电磁学到化学。 在 在数学中，谱理论是一个主要的工具， 几何学和分析的几个领域。

This award supports Professor Thomas P. Branson and Palle Jorgensen of the University of Iowa and Peter Gilkey of the University of Oregon to collaborate in applied mathematics with three strong research groups in Germany and Denmark. Their partners are Gestur Olafsson, University of Gottingen, Reinhard Werner, University of Osnabruck, Bent Oersted, Odense University and Henrik Schlichtkrull, Danish Royal Veterinary and Agricultural University. Their collaboration is framed around six topics within the general area of "spectral theory." These problems are motivated in part by questions in mathematical physics and also in conformal geometry, and will be approached with methods from modern analysis and partial differential operators. This field is one of great activity in Europe, with many strong groups and a long tradition of research that offers diverse opportunities for U.S. participation. In this cooperative project, the U.S. participants offer technical power in the "hard analytic" and geometric aspects, while the European groups bring great strengths in invariance group methods. Spectral theory is the mathematical underpinning of all scientific work involving a spectrum, ranging from the theories of light and electromagnetism to chemistry. In mathematics, spectral theory is a major tool in work in several areas in geometry and analysis.