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Conference on Topology and Geometry in Dimension Three: Triangulations, Invariants, and Geometric Structures; June 2010; Oklahoma City, OK

第三维度拓扑和几何会议：三角剖分、不变量和几何结构；

基本信息

批准号：
1005383
负责人：
Weiping Li
金额：
$ 2.28万
依托单位：
Oklahoma State University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2010
资助国家：
美国
起止时间：
2010-05-01 至 2011-04-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1005383&HistoricalAwards=false
关键词：
Conference Topology Geometry Dimension Three

项目摘要

The Conference on "Topology and Geometry in Dimension Three: Triangulations, Invariants, and Geometric Structures" will be held at Oklahoma State University, June 4-6, 2010. The conference brings together experts and emerging researchers to report on recent results and explore future directions in the study and understanding of 3-manifolds. Geometric structures on 3-manifolds are known to exist but relatively little is known about direct construction of these geometric structures; specifically, constructing the geometry from a description, such as a Heegaard splitting or triangulation of the manifold. This conference will highlight finding direct connections between topological structures on 3-manifolds (triangulations in particular) and geometric structures and expanding the use of these structures to a study of new invariants and applications of hyperbolic geometry to 3-manifolds.Three-dimensional space provides the local space-model for much of science and engineering. Three-manifolds are locally modeled on three-dimensional space and their study and understanding leads to better predictions and understanding in science and more effective applications in engineering and technology. Recent advances in our understanding of three-manifolds has generated new energy making it one of the most exciting and rapidly advancing areas in mathematics; and making this Conference very timely for reporting on emerging results and plotting future directions.

关于“拓扑和三维几何：三角剖分，不变量和几何结构”的会议将于2010年6月4日至6日在俄克拉荷马州州立大学举行。会议汇集了专家和新兴的研究人员，报告最近的结果，并探讨未来的方向，在研究和理解3-流形。三维流形上的几何结构是已知的，但对这些几何结构的直接构造知之甚少;具体地说，从描述中构造几何，如流形的Heegaard分裂或三角剖分。本次会议将突出寻找3-流形上的拓扑结构（特别是三角剖分）和几何结构之间的直接联系，并将这些结构的使用扩展到新的不变量的研究和双曲几何在3-流形上的应用。三维空间为许多科学和工程提供了局部空间模型。三维流形是在三维空间上局部建模的，对它们的研究和理解导致了科学上更好的预测和理解，以及在工程和技术上更有效的应用。我们对三流形的理解的最新进展产生了新的能量，使其成为数学中最令人兴奋和快速发展的领域之一;并使本次会议非常及时地报告新出现的结果和规划未来的方向。