U.S.-Germany Cooperative Research on Spectral Theory

美德光谱理论合作研究

• 批准号: 9722779
• 负责人: Gestur Olafsson
• 金额: $ 1.49万
• 依托单位: Louisiana State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-11-15 至 2000-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9722779&HistoricalAwards=false
• 关键词: U.S.; Germany; Cooperative; Research; Spectral

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.

9722779 Olafsson这是一项国际合作，包括PI、三位共同PI(爱荷华州大学的Thomas Branson和Palle Jorgensen，以及俄勒冈大学的Peter Gilkey)以及德国、法国、挪威和丹麦的研究人员。这项研究将试图解决现代分析中的一些问题，特别是关于李群、齐次空间和更一般流形的谱理论的几何和分析方面。这一奖项预计将促进一个专注于所述领域的强互动性研究项目，这也将允许研究生参与国际合作。尽管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)，但所有主题都是相关的，小组之间将产生广泛的相互作用。要研究的问题是由当前数学物理中的问题驱动的，而他们的解决方案将是对该领域的实质性补充。