Shanks Workshop on Geometric Analysis

尚克斯几何分析研讨会将于2016年3月11日至12日在田纳西州纳什维尔的范德比尔特大学举行。该讲习班旨在汇集几何分析领域的一些领先研究，这是一个受到纯数学和应用科学问题推动的研究领域。几何分析是一个需要来自不同数学领域的工具的领域，因此将具有不同背景和相似研究兴趣的研究人员聚集在一起的重要性。该领域的研究人员面临的困难之一是，许多问题需要各种各样的几何和分析技术。这往往阻碍了研究类似问题的研究人员之间的交流。这次研讨会将有助于克服这些障碍，确保该领域现有的大量技术在其成员之间共享，并激励研究人员寻求未来的合作。这也将是研究生与顶尖研究人员互动的机会，并接触到该领域的前沿发展。工作坊将专注于需要现代黎曼几何、偏微分方程式和代数几何和拓扑学方法之间真正相互作用的问题。它将涉及与Yamabe问题和流形的Yamabe不变量有关的最新发展，经典结果在有边界的流形上的推广，数学广义相对论，卡勒几何的最新发展等。有关更多详细信息，请参阅网页：https://my.vanderbilt.edu/shanksgeomanalysis/

The Shanks Workshop on Geometric Analysis will take place in Vanderbilt University, Nashville, TN, from March 11-12, 2016. The workshop intends to bring together some leading researches in the area of geometric analysis, a field of research motivated by questions in both pure mathematics and the applied sciences. Geometric analysis is an area that requires tools from different mathematical fields, hence the importance of bringing together researchers with different backgrounds and similar research interests. One of the difficulties faced by researchers in the field is that many problems require a wide variety of geometric and analytic techniques. This often prevents researches working on similar problems from communicating with each other. This workshop will help overcoming such barriers, assuring that the vast amount of techniques available in the field are shared among its members, and giving incentives to researches to pursue future collaborations. It will also be an opportunity for graduate students to interact with leading researchers and be exposed to cutting-edge developments in the field.The workshop will focus on problems that require a genuine interplay between methods from modern Riemannian geometry, partial differential equations, and, to a lesser extent, algebraic geometry and topology. It will involve topics such as recent developments in connection with the Yamabe problem and the Yamabe invariant of manifolds, extensions of classical results to manifolds with boundary, mathematical general relativity, recent developments in Kahler geometry, among others.For more details, see the webpage: https://my.vanderbilt.edu/shanksgeomanalysis/