William Rowan Hamilton Geometry and Topology Workshop

威廉·罗文·汉密尔顿几何与拓扑研讨会

• 批准号: 1136511
• 负责人: Martin Bridgeman
• 金额: $ 2万
• 依托单位: Boston College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-07-01 至 2012-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1136511&HistoricalAwards=false
• 关键词: William; Rowan; Hamilton; Geometry; Topology

The Seventh William Rowan Hamilton Geometry and Topology Workshop is a five-day, directed workshop on Geometry and Dynamics of Teichmüller Spaces, to be held at the Hamilton Mathematical Institute (HMI) in Dublin, Ireland, August 30-September 3, 2011. This years workshop will consist of a two-day mini-course for graduate students and junior researchers on Teichmüller theory, followed by a three day lecture series.Among the main topics of the workshop will be the recent work of Kahn and Markovic which combine methods from hyperbolic geometry with ergodic and mixing properties of geodesic flow to make a number of important breakthroughs including the proof of the surface subgroup conjecture for closed hyperbolic manifolds and a recently posted proof of the Ehrenpries conjecture. Another topic will be to generalize work on classical Teichmüller space to other moduli spaces such as the Hitchen component H_n(S) of surface representations into SL(n,R) and the Culler-Vogtmann Outer space X_n of a free group.The goal of the William Rowan Hamilton Geometry and Topology Workshop is to investigate common themes and techniques among significant areas of current research in geometry and topology and to support junior researchers interested in these areas. The workshop will bring together leading researchers in geometry and topology with graduates students and junior researchers who have a special interest in problems related to Geometry and Dynamics of Teichmüller Spaces and will investigate a number of important questions at the forefront of research in these areas. The confluence of expertise from different areas will result in new collaborative projects, and in broadening the research horizons of the participants.http://www.hamilton.tcd.ie/events/gt/gt2011.htm

第七届William Rowan汉密尔顿几何和拓扑研讨会是一个为期五天的，直接研讨会的几何和动力学Teichmüller空间，将在爱尔兰都柏林的汉密尔顿数学研究所（HMI）举行，2011年8月30日至9月3日。今年的研讨会将包括一个为期两天的小型课程，为研究生和初级研究人员对泰希米勒理论，随后是为期三天的系列讲座。研讨会的主要议题将是卡恩和马尔科维奇的最新工作，他们将双曲几何的联合收割机方法与测地线流的遍历和混合性质相结合，取得了一些重要突破，包括证明了曲面子群猜想，闭双曲流形和最近发布的埃伦普里斯猜想的证明。另一个主题是将经典Teichmüller空间的工作推广到其他模空间，如曲面表示的Hitchen分量H_n（S）到SL（n，R）和Culler-Vogtmann外层空间X_威廉罗文汉密尔顿几何和拓扑研讨会的目标是调查当前几何和拓扑研究的重要领域中的共同主题和技术，并支持初级研究人员对这些领域感兴趣。该研讨会将汇集领先的研究人员在几何和拓扑学与研究生和初级研究人员谁有一个特殊的兴趣在相关的问题几何和动态Teichmüller空间，并将调查在这些领域的研究前沿的一些重要问题。来自不同领域的专业知识的融合将产生新的合作项目，并拓宽participants.http://www.hamilton.tcd.ie/events/gt/gt2011.htm的研究视野