Center for Mathematics at Notre Dame, June 2-6, 2014

巴黎圣母院数学中心，2014 年 6 月 2-6 日

• 批准号: 1419147
• 负责人: Matthew Gursky
• 金额: $ 12.94万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-06-01 至 2017-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1419147&HistoricalAwards=false
• 关键词: Center; Mathematics; Notre; Dame; June

Since 2011, the Center for Mathematics at the University of Notre Dame has been organizing and hosting annual summer programs on various mathematical themes. The goal of the Center is two-fold: first, to provide students at the undergraduate and graduate level with the necessary mathematical background so they can understand and appreciate recent developments in mathematical research. This is accomplished through a series of mini-courses taught by leading researchers, who aim their lectures at the appropriate level. The second goal is to broadly disseminate current advances in these areas by hosting a conference in the final week of the program. The Center also seeks to increase the diversity of the mathematical work force by actively recruiting underrepresented groups to attend the activities. This grant supports the programs planned at the Center for the next three summers.The program in 2014 will be dedicated to Nonlinear PDEs in Geometry and Physics. Many physical principles are an expression of an underlying variational principle; at the same time, physical laws often have a purely geometric description. The goal of the Program in Nonlinear PDEs in Geometry and Physics is to bring together researchers who are working on PDEs with connections to differential geometry and mathematical physics. The program in 2015 will be dedicated to Boundaries and Dynamics. In recent years a number of problems and techniques have used statistical properties of a group action on an object at infinity which can be considered as a boundary. The goal of the Program on Boundaries and Dynamics is to explore themes involving a notion of boundaries in geometry and ergodic theory. The program in 2016 will be dedicated to Generalized Stability, Pseudo-finite Combinatorics and Related Topics. The last few years have also seen a remarkable convergence of ideas in model theory, combinatorics, Lie groups, number theory, and dynamics. The main goal of the Program on Generalized Stability, Pseudo-finite Combinatorics and Related Topics is to facilitate interactions between mathematicians working in these related areas.

自2011年以来，巴黎圣母院的数学中心一直在组织和举办各种数学主题的夏季计划。 该中心的目的是两个方面：首先，向本科生和研究生层面的学生提供必要的数学背景，以便他们可以理解并欣赏数学研究的最新发展。 这是通过一系列由领先的研究人员教授的迷你演奏来实现的，他们的讲座针对适当的水平。 第二个目标是通过在该计划的最后一周举办会议来广泛传播这些领域的当前进步。 该中心还试图通过积极招募代表性不足的团体参加活动来增加数学劳动力的多样性。 这项赠款支持在接下来的三个夏天中计划的计划。2014年的计划将专门用于几何和物理学的非线性PDE。许多物理原理是基本的变分原理的表达。同时，物理定律通常具有纯粹的几何描述。该程序在几何学和物理学中的非线性PDE中的目标是将与差异几何学和数学物理学连接的PDE一起工作。 该计划在2015年将致力于边界和动态。 近年来，许多问题和技术都使用了可以将其视为边界的对象上的小组作用的统计特性。该计划在边界和动力学方面的目标是探索涉及几何学和千古理论中边界概念的主题。 该计划在2016年将致力于广义稳定性，伪限制组合和相关主题。 在过去的几年中，在模型理论，组合学，谎言组，数字理论和动态中，思想的观念也存在显着融合。该计划的广义稳定性，伪限制组合和相关主题的主要目标是促进在这些相关领域工作的数学家之间的相互作用。