Between Geometry and Relativity

几何与相对论暑期班(2017年7月17日至21日)和会议(2017年7月24日至28日)将在奥地利维也纳的欧文·薛定谔研究所(ESI)举行，作为几何与相对论项目的两大重点活动(2017年7月17日至9月8日)。该计划将汇集博士生、有前途的年轻研究人员和领先的专家，讨论几何分析和广义相对论相互联系的壮观最新发展，评估研究的新途径，支持现有的合作，并促进新的合作。近年来，像LIGO这样的引力波实验取得了惊人的进展，证实了广义相对论(爱因斯坦引力理论)所预测的现象。这些发展导致了宇宙模型、黑洞和该领域其他领域的研究活动的新高潮。暑期班旨在向研究生和其他初级调查人员介绍该领域的各个方面，在会议上，与会者将了解一系列当前的研究问题。ESI项目为年轻研究人员提供了机会，通过与该领域老牌和新兴的领导者进行互动，促进他们的研究项目的发展。这笔赠款将为有兴趣参加会议和/或暑期学校的美国研究生和其他初级调查人员提供支持，如果没有这种支持，他们将无法参加。将爱因斯坦方程作为引力现象的模型进行研究，涉及几何分析和物理之间深刻而基本的关系。近年来在几个方面取得了惊人的进展，包括研究黑洞时空上的波动方程(最终目标是了解黑洞的稳定性)，宇宙审查，真空中黑洞的动态形成，黑洞的拓扑，以及更好地理解爱因斯坦约束方程的解的模空间，这些约束方程支配柯西问题的初始数据的几何形状。引力现象数值分析的最新进展突出表明，需要突破初值公式的理论界限(在构建约束的解决方案和理解这些初始数据集的演变方面)，并在这些领域的研究人员之间建立桥梁。暑期班和会议的目的是向研究生和其他初级调查人员介绍接近这些结果所需的工具，并概述该领域一些悬而未决的问题。有关该计划的详情，请浏览该计划网页：http://www.esi.ac.at/activities/events/2017/between-geometry-and-relativity

The Between Geometry and Relativity summer school (July 17-21, 2017) and conference (July 24-28, 2017) will be held at the Erwin Schrödinger Institute (ESI) in Vienna, Austria, as two major focus events of the Geometry and Relativity program (July 17-September 8, 2017). The program will bring together doctoral students, promising young researchers, and leading experts to discuss spectacular recent developments in the nexus of geometric analysis and general relativity, to assess new avenues for investigations, to support existing collaborations, and to promote new ones. In recent years, gravitational wave experiments such as that of LIGO have seen striking advances, confirming phenomena anticipated by general relativity (Einstein's theory of gravitation). These developments have led to a new surge of activity in the study of cosmological models, black holes, and other areas in the field. The summer school is designed to introduce aspects of the field to graduate students and other junior investigators, and at the conference participants will learn about a range of current research questions. The ESI program affords young researchers the opportunity to enhance the development of their research program through interaction with established and emerging leaders in the field. This grant will provide support for graduate students and other junior investigators from the U.S. interested in attending the conference and/or summer school, and who would otherwise be unable to do so without this support. The study of the Einstein equations as a model for gravitational phenomena involves deep and fundamental relationships between geometric analysis and physics. Spectacular progress has been made in recent years on several fronts, including the study of wave equations on black hole space-times (with the eventual goal of understanding black hole stability), cosmic censorship, dynamical formation of black holes in vacuum, topology of black holes, and a better understanding of the moduli space of solutions to the Einstein constraint equations that govern geometry of initial data for the Cauchy problem. Recent advances in numerical analysis of gravitational phenomena highlight the need to push the theoretical boundaries of the initial value formulation (both in constructing solutions to the constraints and in understanding the evolution of these initial data sets) and to create a bridge between the researchers in these areas. The purpose of the summer school and conference is to introduce graduate students and other junior investigators to the tools needed to approach such results and to frame some outstanding open problems in the field. Details of the program are available at the program webpage: http://www.esi.ac.at/activities/events/2017/between-geometry-and-relativity