Conference in Mathematical General Relativity; January 5 - 9, 2016; Sanya, Hainan, China.

“数学广义相对论”会议将于2016年1月5日至9日在中国海南三亚举行的清华三亚国际数学论坛上举行。该奖项为参加由清华三亚国际数学论坛主办的会议的美国博士生、博士后和科学家提供旅费支持。特别是，该奖项使学生和没有其他财政资源的早期职业研究人员能够参加会议并与该领域的国际领先专家进行互动。数学广义相对论（GR）主要通过几何分析来研究爱因斯坦方程中蕴含的宇宙规律，这些方程将时空的曲率与其物质含量联系起来。因此，它在几何分析方面产生了进一步的重要研究成果，并回答了关于宇宙的紧迫物理问题。这些问题的本质要求对基本几何和非线性偏微分方程的分析有深刻的理解。本次会议将汇集国际领先的研究人员在数学广义相对论的不同领域的工作，讨论他们的结果，发起新的合作，并研究在这个领域的研究的新方向。近年来，在数学GR和几何分析方面取得了重大突破。其中我们发现的结果表明，通过引力波的聚焦，将形成一个封闭的捕获面，从而形成一个黑洞。此外，通过粘合技术，初始数据工程已经取得了巨大的进展。几何流和能量方法已被证明在解决数学广义相对论所有领域的重要问题中是必不可少的。通过几何解析和数值方法获得了关于引力波性质的新见解，相信在不久的将来会被探测到。类似的几何分析技术被用于在其他数学领域获得新的见解。这次会议的一个主要目标是促进在GR中工作的不同群体之间的互动，包括几何分析师、物理学家、天体物理学家和数值相对论家。本次活动将讨论的主题从引力波到黑洞的稳定性和形成，到强宇宙审查，到能量和准局部质量的概念以及相关现象。在所有这些领域中，几何分析在推动数学和物理方向上令人兴奋的研究方面发挥了关键作用。会议的一个关键点是在专家和研究生以及早期职业研究人员之间建立专业联系，特别是让学生和早期职业研究人员了解这些领域的新发展。会议网站：http://ymsc.tsinghua.edu.cn/sanya/2016/CGR2016/home.aspx

The conference "Mathematical General Relativity", January 5 - 9, 2016, will be held at the Tsinghua Sanya International Mathematics Forum in Sanya, Hainan, China. This award provides travel support for US PhD students, postdocs and scientists to participate in the conference, which is sponsored by the Tsinghua Sanya International Mathematics Forum. In particular, this award enables students and early career researchers, who do not have other financial resources, to join the conference and to interact with international leading experts in the field. Mathematical general relativity (GR) studies the laws of the universe encoded in the Einstein equations linking the curvature of spacetime to its matter content by means of mainly geometric analysis. It thereby generates further important research results in geometric analysis as well as it answers burning physical questions about the universe. The nature of these problems require a deep understanding of the underlying geometry and the analysis of nonlinear partial differential equations. This conference will bring together leading international researchers working in different areas of mathematical general relativity to discuss their results, to initiate new collaborations and to investigate new directions of research in this field. In recent years, monumental breakthroughs in mathematical GR and geometric analysis have occurred. Among them we find the results showing that through the focusing of gravitational waves a closed trapped surface and subsequently a black hole will form. Moreover, initial data engineering has made huge progress through gluing techniques. Geometric flows and energy methods have proven to be essential in solving important problems in all areas of mathematical GR. New insights on the nature of gravitational waves, which are believed to be detected in the near future, have been obtained by geometric-analytic as well as numerical methods. Similar geometric-analytic techniques were used to gain new insights in other mathematical fields. A major goal of this conference is to facilitate interactions between different groups working in GR, including geometric analysts, physicists, astrophysicists and numerical relativists. The topics that will be discussed at this event range from gravitational waves to stability and formation of black holes, to strong cosmic censorship, to concepts of energy and quasilocal mass and related phenomena. In all these areas geometric analysis has played key roles in advancing exciting research in both mathematical and physical directions. A crucial point of the conference is to forge professional links between experts and graduate students as well as early career researchers, in particular to expose students and early career researchers to new developments in these areas. Conference website: http://ymsc.tsinghua.edu.cn/sanya/2016/CGR2016/home.aspx