Conference and Mittag-Leffler Institute Program on Geometry, Analysis and General Relativity

几何、分析和广义相对论会议和米塔格-莱弗勒研究所计划

• 批准号: 0807545
• 负责人: Gregory Galloway
• 金额: $ 4.9万
• 依托单位: University of Miami
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-06-15 至 2009-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0807545&HistoricalAwards=false
• 关键词: Conference; Mittag; Leffler; Institute; Program

AbstractAward: DMS-0807545Principal Investigator: Gregory J. GallowayThe Mittag-Leffler Institute in Djursholm, Sweden is running asemester long program on Geometry, Analysis, and GeneralRelativity from August to December, 2008. The program will startoff with a conference at the Royal Institute of Technology (KTH)in Stockolm, August 25-29, 2008. This will be a comprehensiveprogram focusing on analysis and geometry problems revolvingaround the Einstein equation, the the field equation of generalrelativity. The purpose of this award is to help U.S. researchersand students with travel expenses to Sweden, and with localexpenses pertaining to their participation in the KTH conference.The Einstein equation is one of the most important geometricpartial differential equations, in both the Lorentzian and theRiemannian settings. Spectacular progress has been made inrecent years in the study of the Einstein equation, wih progressbeing made on many fronts. These developments have brought intofocus the deep connections between the Einstein equation andother important geometric PDE's, including the wave map equation,the Yang-Mills equation, the Yamabe equation and the Ricci flowequation. The main aim of this Mittag-Leffler Institute programis to bring together the leading contributors to thesedevelopments to promote collaboration in the study of the globalstructure of solutions to the Einstein equation and relatedgeometric PDE's.Rapid progress on experimental and numerical aspects ofgravitational physics has been made in recent years, and it is ofincreasing physical importance to understand effects such asgravitational radiation, gravitational collapse and inflation,where the strong field features of the Einstein equation play afundamental role. The results of the collaborative research andanalysis to be carried out during the program will have asignificant bearing on these fundamental physical problems.Participation of graduate students and recent PhD's is a keycomponent of the program, and is crucial to the continuingvitality of the area. Further details concerning thisMittag-Leffler program and the kick-off conference at KTH may befound at: http://www.mittag-leffler.se/programs/0809f/http://www.math.kth.se/ag08/

AbstractAward：DMS-0807545首席研究员：Gregory J. Galloway位于瑞典朱尔绍尔姆的米塔格-莱弗勒研究所从2008年8月到12月正在进行一个学期的几何、分析和广义相对论项目。 该计划将于2008年8月25日至29日在斯德哥尔摩的皇家理工学院（KTH）举行会议。 这将是一个全面的程序，重点是围绕爱因斯坦方程，广义相对论的场方程的分析和几何问题。该奖项的目的是帮助美国研究人员和学生前往瑞典的旅费，以及与他们参加KTH会议有关的当地费用。爱因斯坦方程是最重要的几何偏微分方程之一，在洛伦兹和黎曼设置。 近年来，爱因斯坦方程的研究在许多方面取得了惊人的进展。这些发展使人们注意到Einstein方程与其他重要的几何偏微分方程，包括波图方程、Yang-Mills方程、Yamabe方程和Ricci流方程之间的深刻联系。这个米塔格-莱弗勒研究所计划的主要目的是汇集这些发展的主要贡献者，以促进爱因斯坦方程和相关几何偏微分方程解的全球结构研究的合作。近年来，引力物理学的实验和数值方面取得了快速进展，理解引力辐射，引力坍缩和暴胀，其中爱因斯坦方程的强场特征起着基础作用。在该计划期间进行的合作研究和分析的结果将对这些基本的物理问题产生重大影响。研究生和最近的博士生的参与是该计划的关键组成部分，对该领域的持续活力至关重要。 关于这个Mittag-Leffler计划和在KTH的启动会议的更多细节可以在以下网站找到：http://www.mittag-leffler.se/programs/0809f/http://www.math.kth.se/ag08/