William Rowan Hamilton Geometry and Topology Workshop

第七届威廉·罗文·汉密尔顿几何与拓扑研讨会为期五天，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，主题是teichm<s:1> ller空间的几何与动力学。今年的研讨会将包括为期两天的迷你课程，供研究生和初级研究人员学习teichm<e:1>勒理论，然后是为期三天的系列讲座。研讨会的主要议题将是Kahn和Markovic最近的工作，他们将双曲几何的方法与测地线流的历回和混合性质结合起来，取得了许多重要的突破，包括对封闭双曲流形的表面子群猜想的证明，以及最近发表的对Ehrenpries猜想的证明。另一个课题是将经典的teichm<e:1>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)推广到SL（n，R）和自由群的Culler-Vogtmann外空间X_n。威廉·罗文·汉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术，并支持对这些领域感兴趣的初级研究人员。该研讨会将汇集几何和拓扑领域的顶尖研究人员，以及对teichm<e:1>空间的几何和动力学问题有特殊兴趣的研究生和初级研究人员，并将研究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产生新的合作项目，并拓宽参与者的研究视野。http://www.hamilton.tcd.ie/events/gt/gt2011.htm

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