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

摘要奖：DMS-0807545首席研究员：格雷戈里·J·加洛伊瑞典德约肖姆的米塔格-莱弗勒研究所将于2008年8月至12月期间开展一项为期十年的几何、分析和广义相对论项目。该计划将于2008年8月25日至29日在斯托克姆的皇家理工学院(KTH)举行的一次会议上开始。这将是一个围绕爱因斯坦方程的分析和几何问题的综合程序，广义相对论的场方程。这个奖项的目的是帮助美国研究人员和学生支付去瑞典的旅费和参加第k次会议的当地费用。爱因斯坦方程是最重要的几何偏微分方程之一，在洛伦兹和黎曼环境下都是如此。近年来，爱因斯坦方程的研究取得了令人瞩目的进展，在许多方面都取得了进展。这些发展使人们关注爱因斯坦方程和其他重要的几何偏微分方程组之间的深层联系，包括波图方程、杨-米尔斯方程、雅马贝方程和利奇方程。这个米塔格-莱弗勒研究所计划的主要目的是把这些发展的主要贡献者聚集在一起，促进在研究爱因斯坦方程和相关几何偏微分方程组的解的全球结构方面的合作。近年来，在引力物理的实验和数值方面取得了快速的进展，理解引力辐射、引力坍塌和膨胀等效应的物理重要性正在增加，在这些效应中，爱因斯坦方程的强场特性起着基础性的作用。在该项目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。研究生和新近毕业的博士的参与是该项目的关键组成部分，对该领域的持续活力至关重要。有关米塔格-莱弗勒计划和第KTH公司启动会议的更多细节，请访问：http://www.mittag-leffler.se/programs/0809f/http://www.math.kth.se/ag08/

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/