Shanks Workshop on Geometric Analysis

Shanks 几何分析研讨会

基本信息

批准号：
1610645
负责人：
Marcelo Disconzi
金额：
$ 1.2万
依托单位：
Vanderbilt University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2016
资助国家：
美国
起止时间：
2016-03-01 至 2017-02-28
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1610645&HistoricalAwards=false
关键词：
Shanks Workshop Geometric Analysis

项目摘要

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/

Shanks 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范德比尔特大学举行。该研讨会旨在汇集几何分析领域的一些领先研究成果，这一研究领域的动力来自于以下问题：纯数学和应用科学。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非常重要。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。这通常会阻碍研究类似问题的研究人员相互交流。该研讨会将有助于克服这些障碍，确保该领域的大量可用技术在其成员之间共享，并激励研究人员寻求未来的合作。这也将是研究生与领先研究人员互动并接触该领域前沿发展的机会。研讨会将重点讨论需要现代黎曼几何、偏微分方程等方法之间真正相互作用的问题，在较小程度上，代数几何和拓扑。它将涉及诸如与 Yamabe 问题和流形的 Yamabe 不变量有关的最新发展、经典结果到有边界流形的扩展、数学广义相对论、卡勒几何的最新发展等主题。有关更多详细信息，请参阅网页：https://my.vanderbilt.edu/shanksgeomanalysis/