Program in Holomorphic Dynamics, Laminations and Hyperbolic Geometry

全纯动力学、叠片和双曲几何课程

• 批准号: 0555429
• 负责人: Mikhail Lyubich
• 金额: $ 4.5万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-02-15 至 2007-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0555429&HistoricalAwards=false
• 关键词: Program; Holomorphic; Dynamics; Laminations; Hyperbolic

AbstractAward: DMS-0555429Principal Investigator: Mikhail LyubichThe main focus of the program will be the interaction between3-dimensional hyperbolic geometry and holomorphic dynamics. These two fields have flourished through the past 30 years, with numerousfruitful exchanges that have enriched both of them. Both fields have been heavily influenced by major conjectures; the Thurston Geometrization Program in hyperbolic geometry and investigation of the intricate structure of the Mandelbrot set in complex dynamics. Recent years have witnessed many exciting breakthroughs in the both fields. The program provides an opportunity to consolidate these recent achievements and to discuss further directions they open. It will also touch on a number of active related fields: holomorphic dynamics in several variables, laminations and foliations, partially hyperbolic dynamics, and Teichmuller flow. The program will take place at the Fields Institute, which is mounting anintensive semester of activity in this area during the period January-May2006. A number of graduate courses, mini-courses and seminars, as wellas three Workshops on various themes of the program will be carried out during that time. They will be largely directed towards young researches who will have an opportunity to learn about most recent events in the field. The NSF funding will be used to support American mathematicians who wish to participate in this activity, principally young mathematicians without other sources of support.The program Web site is http://www.fields.toronto.edu/programs/scientific/05-06/holodynamics/

AbstractAward：DMS-055429原理研究者：Mikhail Lyubich The计划的主要重点将是3维双曲几何形状与全态动力学之间的相互作用。在过去的30年中，这两个领域一直蓬勃发展，并进行了无数的交流，使他们俩都充实了。这两个领域都受到重大猜想的严重影响。双曲线几何形状中的瑟斯顿几何化计划和对复杂动力学中的曼德布罗特（Mandelbrot）的复杂结构的研究。近年来，这两个领域都见证了许多令人兴奋的突破。 该计划提供了巩固这些最新成就并讨论他们打开的进一步指示的机会。它还将涉及许多活动相关的领域：几个变量中的全态动力学，层压和叶子，部分双曲动力学和Teichmuller流动。 该计划将在田野学院（Fields Institute）举行，该研究所将在2006年1月的2006年期间在该领域进行过度的活动。在此期间，将在此期间进行许多研究生课程，小型演奏和研讨会以及韦拉斯三个有关该计划主题的讲习班。他们将主要针对年轻研究，他们将有机会了解该领域的最新事件。 NSF资金将用于支持希望参加这项活动的美国数学家，主要是年轻的数学家，没有其他支持来源。程序网站是http://www.fields.toronto.edu/programs/scientific/05-05-06/holodynamics/