Special Session on Mathematical Relativity at CADS 5

CADS 5 数学相对论特别会议

• 批准号: 1118401
• 负责人: Rudi Weikard
• 金额: $ 3.8万
• 依托单位: University of Alabama at Birmingham
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-05-01 至 2013-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1118401&HistoricalAwards=false
• 关键词: Special; Session; Mathematical; Relativity; CADS

The Einstein Equations have seen extraordinary developments in the last few years, such as results on the formation of black holes, investigations into the uniqueness and stability of the Kerr solution, and advances in our understanding of cosmic censorship, quasi-local mass, deformations of initial data sets and properties of marginally trapped surfaces. Highly fruitful connections with other geometric PDE's, such as Yang Mills, wave maps, the Yamabe equation, various parabolic flows, as well as connections to other nearby areas, such as harmonic analysis, have led to an array of exciting new discoveries. This activity has attracted many geometric analysts to the wealth of problems and potential applications of the geometrical techniques developed. The special session on Mathematical Relativity organized by the PI's at the fifth conference on Complex Analysis and Dynamical Systems in Akko, Israel, May 22 to 26, aims to gather leading specialists and younger researchers in mathematical relativity and geometric PDE's, to discuss these problems and recent results in order to promote collaborations and further progress.With the advance of several experimental projects on relativistic gravitational physics, it is highly important todevelop a wealth of theoretical models. In order to assure that mathematical relativity continues to have a strong impact on, and interaction with, the experimental efforts, these models should mature and be able to make quantitative predictions on a number of subjects such as gravitational collapse, gravitational waves and other phenomena associated with strong gravitational fields. This special session will encourage further collaborative research into these topics and also draw young talent to this field. The participation of graduate students and young Ph.D.'s will ensure the continued vitality of the discipline.

在过去的几年里，爱因斯坦方程有了非凡的发展，例如关于黑洞形成的结果，对克尔解的唯一性和稳定性的研究，以及在我们对宇宙审查、准局部质量、初始数据集的变形和边缘囚禁表面的性质的理解方面的进展。与其他几何偏微分方程组(如Yang Mills、波图、Yamabe方程、各种抛物线流动)以及与附近其他区域的联系(如调和分析)都取得了丰硕的成果，导致了一系列令人兴奋的新发现。这一活动吸引了许多几何分析家对所开发的几何技术的丰富问题和潜在应用进行研究。5月22日至26日，在以色列阿克科举行的第五届复杂分析和动力系统会议上，国际物理学会组织了关于数学相对论的特别会议，旨在聚集数学相对论和几何偏微分方程组的顶尖专家和年轻研究人员，讨论这些问题和最新成果，以促进合作和进一步发展。随着相对论引力物理实验项目的推进，建立丰富的理论模型是非常重要的。为了确保数学相对论继续对实验工作产生强大的影响和相互作用，这些模型应该成熟，并能够对一些主题做出定量预测，例如引力坍塌、引力波和其他与强大引力场相关的现象。这次特别会议将鼓励对这些主题进行进一步的合作研究，并将年轻人才吸引到这一领域。研究生和年轻博士S的参与将确保学科的持续生命力。