Conference: Groups, geometry and dynamics

Kervaire研讨会：2013年3月10日至15日，瑞士Les Diablerets，2013年3月10日至15日，几何群2013（瑞士数学博士课程）。会议涵盖了现代群论的几个分支：几何群论，无限群的渐近行为，群作用和动力系统。一小时的研究讲座由该领域的领先专家提供的几个小型课程补充。几何群论是一个相对年轻的领域，起源于组合群论和拓扑学。在20世纪80年代中期，受到格罗莫夫思想的启发，群论开始关注细胞复合体可以携带的几何结构。这种关注揭示了大量的光对早期的组合和拓扑调查，并刺激了其他创新的想法，一直在迅速发展。随着它在过去20年的发展，几何群论已经发展了许多不同的方面，包括几何，拓扑，分析，逻辑。 自90年代初以来，无穷群的渐近性态一直是几何群论研究的主要课题之一。群的渐近不变量反映了群的大规模几何性质，在理论和应用中具有重要的地位。 群作用与动力系统的相互作用是群论的一个新领域。 一方面，共形动力系统产生了丰富的来源，这样的群体与有趣的代数，几何和频谱特性。另一方面，这样的群体可以产生共形动力系统具有显着的几何和测度论的规律性。http://www.unige.ch/~tatiana/Diablerets/Diablerets/home.html

Kervaire Seminar: Geometry of groups 2013 (Swiss Doctoral Program in Mathematics), Les Diablerets, Switzerland, 10-15 March, 2013.The conference covers several branches of modern group theory: geometric group theory, asymptotic behavior of infinite groups, group actions and dynamical systems. Research one-hour talks are complemented by several mini-courses given by the leading experts in the field. Geometric group theory is a relatively young field with roots in combinatorial group theory and topology. In the mid 1980's, spurred by ideas of Gromov, group theorists began to pay attention to the geometric structures which cell complexes can carry. This attention shed a great deal of light on the earlier combinatorial and topological investigations and stimulated other innovative ideas which have been developing at a rapid pace. As it has grown over the past 20 years, geometric group theory has developed many different facets, including geometry, topology, analysis, logic. Asymptotic behavior of infinite groups has been one of the main themes in geometric group theory since the early nineties. The asymptotic invariants of a group reflect the large-scale geometry of the group, they paly an important part in theory and applications. Interplay between group actions and dynamical systems is a new area of group theory. On the one hand, conformal dynamical systems yield a rich source of such groups with interesting algebraic, geometric, and spectral properties. On the other hand, such groups can be shown to yield conformal dynamical systems with remarkable geometric and measure-theoretic regularity. http://www.unige.ch/~tatiana/Diablerets/Diablerets/home.html