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

“三维拓扑与几何：三角剖分、不变量和几何结构”会议将于2010年6月4日至6日在俄克拉荷马州立大学举行。这次会议汇集了专家和新兴的研究人员，报告了最近的研究成果，并探索了未来对三维流形的研究和理解的方向。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，通过描述来构造几何，例如流形的Heegaard分裂或三角剖分。这次会议将着重寻找三维流形(特别是三角剖分)上的拓扑结构和几何结构之间的直接联系，并将这些结构的使用扩展到研究新的不变量和双曲几何在三维流形上的应用。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模拟的，对它们的研究和理解有助于更好地预测和理解科学，并在工程和技术中更有效地应用。我们对三种流形的理解最近取得的进展产生了新的活力，使其成为数学领域最令人兴奋和发展最快的领域之一；并使本次会议非常及时地报告新的结果和规划未来的方向。

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.