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/.

摘要奖：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 日在安大略省多伦多的菲尔兹研究所举行。该研讨会与研究所的“全纯动力学、叠片、和双曲几何”，并将重点关注双曲几何和双曲几何的最新进展的吸收3-流形，新技术的巩固，以及与相关领域建立新的方向和联系。 由于佩雷尔曼对瑟斯顿均匀化猜想的研究成果以及Tameness猜想、EndingLamination猜想、Ahlfors测度猜想等其他重要问题的解决，双曲几何和3流形的研究已经到了一个关键的关头。 该奖项将在国际研究中心举办的研讨会上为美国参与者，特别是初级研究人员提供支持。研讨会的主题双曲几何起源于 19 世纪对满足除平行公设之外的所有欧几里得公理的几何的探索，并已转向对于 2 维和 3 维空间来说，它是一个极其重要的结构。有关菲尔兹研究所研讨会及其上级项目的更多信息，请访问 http://www.fields.toronto.edu/programs/scientific/05-06/holodynamics/。