Bloomington Geometry Workshop

布卢明顿几何研讨会

• 批准号: 0107018
• 负责人: Christopher Judge
• 金额: $ 1.5万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-09-01 至 2002-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0107018&HistoricalAwards=false
• 关键词: Bloomington; Geometry; Workshop

AbstractAward: DMS-0107018Principal Investigator: Christopher M. JudgeThe Bloomington Geometry Workshop is the first of an intendedseries of regional conferences on geometry. The main purpose ofthe Bloomington Geometry Workshop, to be held at the Universityof Indiana, is to promote scientific cooperation andcommunication between geometers and geometric analysts in aregion including Indiana, Illinois, Kentucky, Michigan, Ohio, andTennessee.Modern geometry addresses problems such as understanding the waysin which typical spaces are curved and how far from the flatEuclidean model a space might be, the influence of curvature uponanalysis in a particular geometry, interactions of large-scalegeometry with probability theory and the algebraic properties ofthe fundamental group, hyperbolic geometry and the portion oflow-dimensional topology that increasingly depends uponhyperbolic structures, and gauge field theories and other ideasfrom theoretical physics.

摘要奖：DMS-0107018主要研究者：Christopher M.布卢明顿几何研讨会是一系列区域几何会议的第一次。 将在印第安纳州大学举办的布卢明顿几何研讨会的主要目的是促进包括印第安纳州、伊利诺伊州、肯塔基州、密歇根州、俄亥俄州和田纳西州在内的地区的几何学家和几何分析师之间的科学合作和交流。现代几何解决的问题包括理解典型空间的弯曲方式以及空间可能距离平面欧几里得模型有多远，曲率对特定几何分析的影响，大尺度几何与概率论的相互作用以及基本群的代数性质，双曲几何和越来越依赖于双曲结构的低维拓扑部分，规范场论和理论物理的其他思想。