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，涉及PI，三个Co-Pis（爱荷华州美国的Thomas Branson和Palle Jorgensen；以及俄勒冈州的Peter Gilkey）和德国，法国，挪威，挪威和丹麦的研究人员。 该研究将尝试解决现代分析中的许多问题，尤其是在谎言群体，同质空间和更一般的歧管上的光谱理论的几何和分析方面。 预计该奖项将促进一项重点是既定领域的互动研究计划，这还将允许研究生参加国际合作。 尽管该研究计划设想了五个独立的研究小组（在德国有两个，每个国家中有一个），但所有主题都是相关的，并且这些小组之间将存在广泛的相互作用。 要研究的问题是由当前数学物理学中的问题激发的，它们的解决方案将是该领域的实质性补充。