Bloomington Geometry Workshop

[摘要]获奖：dms -0107018首席研究员：Christopher M. judgebloomington几何研讨会是一系列关于几何的区域会议中的第一个。布卢明顿几何研讨会将在印第安纳大学举行，其主要目的是促进印第安纳州、伊利诺伊州、肯塔基州、密歇根州、俄亥俄州和田纳西州等地区的几何学者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是弯曲的方式，以及空间可能与平面核模型有多远，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，规范场理论和其他理论物理学的观点。

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.