Workshop on Hyperbolic Geometry

摘要奖：DMS-0533519首席研究员：Yair Minsky 2006年5月23-27日将在安大略省多伦多的FieldsInstitute举办一场关于“双曲几何”的研讨会。该工作坊与研究所的“全纯动力学、层合和双曲几何”冬季项目有关，将侧重于吸收双曲几何和3-流形的最新进展，巩固新技术，并建立新的方向和与相关领域的联系。双曲几何和三维流形的研究由于Perelman关于瑟斯顿一致化猜想的结果和其他重要问题的解决，包括温顺猜想、EndingLamination猜想和Ahlfors测度猜想的解决，在一个关键的关头取得了进展。这个奖项将支持美国的参与者，特别是初级研究人员，在一个国际研究中心的研讨会上。研讨会的主题是双曲几何，起源于19世纪寻找满足欧几里得公理但平行公设的几何，并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/.