Conference on Geometric Analysis

几何分析会议

• 批准号: 1707760
• 负责人: Yu Yuan
• 金额: $ 2.9万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-06-01 至 2017-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1707760&HistoricalAwards=false
• 关键词: Conference; Geometric; Analysis

This award is to support U.S. participants in the International Collaborative Research Group Conference on Geometric Analysis, to be held at the Pacific Institute for the Mathematical Sciences (PIMS), University of British Columbia, Canada from July 24 to July 28, 2017. Generally speaking, geometric analysis involves using analytic methods to solve problems in differential geometry and general relativity. This workshop will bring together mathematicians, including top experts in the field, to communicate recent progress and to promote interaction and collaboration among the participants. In particular, the goals of the conference are to disseminate new advances in geometric analysis, to contribute to the training of graduate students, and to bring a large group of mathematicians to exchange and to incubate new mathematical ideas. To realize these goals, junior researchers (including postdoctoral fellows and graduate students) and researchers from various under-represented groups are especially encouraged to apply and will be given priority for financial support from the organizing committee.The workshop will bring leading experts from all over the world to present the new results and/or surveys of current progresses in geometric analysis, in particular, from the following subfields: (1) Analysis of geometric PDE including curvature flows (e.g., power of Gauss curvature flow, Ricci flow, gradient Ricci solitons, and manifolds with lower Ricci curvature bound); (2) Kahler-Einstein metrics and the Kahler-Ricci flow (e.g., singular Kahler metrics, the Gromov-Hausdorff limits of Kahler manifolds, the regularity and weak solutions of Kahler-Ricci flow, and Kahler-Ricci solitons); (3) Minimal submanifolds and mean curvature flow (e.g., special Lagrangian submanifolds in mirror symmetry, min-max theory from the proof of Willmore conjecture, and the formation of singularities of mean curvature flow); and (4) Mathematical general relativity (e.g., space-like hypersurfaces with constant mean curvature, the center of mass, and the nonlinear gluing approach). Since 2010 PIMS Workshop on Geometric Analysis, there are many exciting new results and new techniques in these fields, and the conference will have about 25 speakers discussing these advances. The abstract of talks and videos from the workshop will be posted on the conference webpage http://www.pims.math.ca/scientific-event/170724-ccga

该奖项旨在支持美国国际合作研究小组几何分析会议的参与者，该会议将于2017年7月28日至2017年7月28日在加拿大不列颠哥伦比亚大学的太平洋数学研究所（PIMS）举行。一般而言，几何分析涉及使用分析方法来解决差异质量和一般相关性中的分析方法。该研讨会将汇集包括该领域的高级专家在内的数学家，以交流最近的进步并促进参与者之间的互动和协作。 特别是，会议的目标是传播几何分析的新进步，为研究生的培训做出贡献，并带来一大批数学家进行交流和孵化新的数学思想。 To realize these goals, junior researchers (including postdoctoral fellows and graduate students) and researchers from various under-represented groups are especially encouraged to apply and will be given priority for financial support from the organizing committee.The workshop will bring leading experts from all over the world to present the new results and/or surveys of current progresses in geometric analysis, in particular, from the following subfields: (1) Analysis of geometric PDE including curvature流（例如，高斯曲率流的功率，RICCI流动，梯度RICCI孤子和具有较低RICCI曲率结合的歧管）； （2）Kahler-Einstein指标和Kahler-ricci流（例如，奇异的Kahler指标，Kahler歧管的Gromov-Hausdorff限制，Kahler-Ricci流的规律性和弱解决方案，以及Kahler-Ricci Solitons的规律性和弱解决方案）； （3）最小的亚策略和平均曲率流（例如，镜子对称性中的特殊拉格朗日亚曼叶，来自威尔莫尔猜想证明的最小 - 最大理论以及平均曲率流的奇异性的形成）； （4）数学一般相对论（例如，具有恒定平均曲率的空格性超曲面，质量中心和非线性胶合方法）。自2010年PIMS几何分析研讨会以来，这些领域有许多令人兴奋的新结果和新技术，并且会议将有大约25位发言人讨论这些进步。研讨会的会谈和视频摘要将发布在会议网页上http://www.pims.math.ca/scientific-event/170724-ccca