William Rowan Hamilton Geometry and Topology Workshop

第七届William Rowan哈密尔顿几何和拓扑研讨会是为期五天的Teichmüler空间几何和动力学指导研讨会，将于2011年8月30日至9月3日在爱尔兰都柏林的汉密尔顿数学研究所(HMI)举行。今年的工作坊将包括为期两天的Teichmüler理论研究生和初级研究人员的迷你课程，然后是为期三天的讲座系列。研讨会的主要主题将是Kahn和Markovic的最新工作，他们将双曲几何的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，包括证明了闭双曲流形的曲面子群猜想，以及最近发表的对Ehrenpres猜想的证明。另一个主题是将经典Teichmüler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)和自由群的Culler-Vogtmann外空间X_n。William Rowan哈密尔顿几何和拓扑研讨会的目标是研究当前几何和拓扑研究的重要领域中的共同主题和技巧，并支持对这些领域感兴趣的初级研究人员。研讨会将汇集几何和拓扑学领域的顶尖研究人员与研究生、学生和初级研究人员，他们对与Teichmüler空间的几何和动力学相关的问题特别感兴趣，并将调查这些领域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导致新的合作项目，并拓宽participants.http://www.hamilton.tcd.ie/events/gt/gt2011.htm的研究视野

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