Workshop on Hyperbolic Geometry

摘要：项目编号：dms -0533519项目负责人：Yair minsky将于2006年5月23-27日在加拿大安大略省多伦多的菲尔德研究所举办一个关于“双曲几何”的研讨会。该研讨会与研究所冬季项目“全纯动力学、分层和双曲几何”有关，将重点关注双曲几何和3流形的最新进展，新技术的巩固，以及新方向的形成和与相关领域的联系。由于佩雷尔曼关于瑟斯顿均匀化猜想的结果以及其他重要问题的解决，双曲几何和3流形的研究到达了一个关键的节点，这些问题包括驯服猜想、结束分层猜想和Ahlfors测度猜想。该奖项将支持在国际研究中心的研讨会上的美国参与者，特别是初级研究人员。研讨会的主题，双曲几何，起源于19世纪寻找满足除平行公设之外的所有欧几里德公理的几何，并已被证明是二维和三维空间的一个至关重要的结构。有关研讨会及其在菲尔兹研究所的母项目的更多信息，请访问http://www.fields.toronto.edu/programs/scientific/05-06/holodynamics/。

AbstractAward: DMS-0533519Principal Investigator: Yair MinskyA workshop on "Hyperbolic Geometry" will take place at the FieldsInstitute in Toronto, Ontario on May 23-27, 2006. The workshopis associated to the winter program at the Institute on"Holomorphic Dynamics, Laminations, and Hyperbolic Geometry" andwill focus on the assimilation of recent advances in hyperbolicgeometry and 3-manifolds, the consolidation of new techniques,and the forging of new directions and connections with relatedfields. Hyperbolic geometry and the study of 3-manifolds havearrived at a crucial juncture due to Perelman's results onThurston's Uniformization Conjecture and the solutions of otherimportant problems including the Tameness Conjecture, the EndingLamination Conjecture, and the Ahlfors Measure Conjecture. This award will support U.S. participants, especially juniorresearchers, in a workshop at an international research center.The topic of the workshop, hyperbolic geometry, has its rootsin the 19th century search for geometries that satisfy all ofEuclid's axioms but the Parallel Postulate, and has turned outto be a critically important structure for 2- and 3-dimensionalspaces. More information on the workshop and its parent programat the Fields Institute is available at http://www.fields.toronto.edu/programs/scientific/05-06/holodynamics/.