Workshop on Hyperbolic Geometry

双曲几何研讨会

• 批准号: 0533519
• 负责人: Yair Minsky
• 金额: $ 1.5万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-01 至 2006-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0533519&HistoricalAwards=false
• 关键词: Workshop; Hyperbolic; Geometry

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/.

AbstractAward：DMS-0533519首席研究员：Yair Minsky关于“双曲几何”的研讨会将于2006年5月23日至27日在安大略多伦多的菲尔兹研究所举行。 该研讨会是与冬季计划在研究所的“全纯动力学，分层，和双曲几何”，并将集中在同化的最新进展，双曲几何和三维流形，巩固新技术，锻造新的方向和连接与相关领域。 Perelman关于Thurston一致化猜想的结果以及Tameness猜想、EndingLamination猜想、Ahlfors测度猜想等重要问题的解决，使双曲几何和三维流形的研究进入了一个关键的时刻。 该奖项将支持美国的参与者，特别是初级研究人员，参加在一个国际研究中心举办的研讨会。研讨会的主题是双曲几何，它起源于世纪对满足除了平行公设之外的所有欧几里得公理的几何的探索，并已被证明是二维和三维空间的一个至关重要的结构。有关该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/。