Mathematical Sciences: Deformation Problems from Geometry and Algebra

数学科学：几何和代数的变形问题

• 批准号: 9205154
• 负责人: John Millson
• 金额: $ 9.2万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-08-01 至 1996-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9205154&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Deformation; Problems; Geometry

The principal investigator will continue his investigation of deformation problems in geometry and algebra by developing a principle of Deligne. The methods include techniques from differential geometry and rational homotopy theory. This award will support research in the general area of differential geometry and global analysis. Differential geometry is the study of the relationship between the geometry of a space and analytic concepts defined on the space. Global analysis is the study of the overall geometric and topological properties of a space by piecing together local information. Applications of these areas of mathematics in other sciences include the structure of complicated molecules, liquid-gas boundaries, and the large scale structure of the universe.

首席调查员会继续调查 几何和代数中的变形问题， 德利涅原则这些方法包括以下技术 微分几何和有理同伦理论。 该奖项将支持一般领域的研究， 微分几何和全局分析。微分几何 是研究空间的几何形状 和空间上定义的分析概念。全球分析是 对物体的整体几何和拓扑性质的研究 一个空间，通过拼凑当地的信息。的应用 这些数学领域的其他科学包括 复杂的分子结构，液-气边界， 宇宙的大尺度结构