权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

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

美国-西欧光谱理论合作研究（应用数学）

基本信息

批准号：
9114401
负责人：
Thomas Branson
金额：
$ 2万
依托单位：
University of Iowa
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
1992
资助国家：
美国
起止时间：
1992-06-01 至 1996-11-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=9114401&HistoricalAwards=false
关键词：
U.S.Western Europe Cooperative Research

项目摘要

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.

该奖项支持爱荷华大学的Thomas P. Branson教授和Palle Jorgensen教授以及俄勒冈大学的Peter Gilkey教授与德国和丹麦的三个强大的研究小组在应用数学方面进行合作。他们的合作伙伴Gestur Olafsson , 哥廷根大学大学莱因哈德沃纳奥斯纳布吕克,奥斯特弯曲,欧登塞大学和亨瑞克 Schlichtkrull、丹麦皇家兽医和农业大学。他们的合作围绕“光谱理论”一般领域内的六个主题展开。这些问题部分是由数学物理和保形几何中的问题引起的，并且将用现代分析和偏微分算子的方法来解决。这一领域在欧洲是一个非常活跃的领域，有许多强大的团体和悠久的研究传统，为美国的参与提供了多种机会。在这个合作项目中，美国参与者在“硬分析”和几何方面提供了技术力量，而欧洲团队在不变群方法方面带来了巨大的优势。光谱理论是所有涉及光谱的科学工作的数学基础，范围从光、电磁理论到化学。在数学中，谱理论是几何学和分析学几个领域工作的主要工具。