Geometry on Groups and Spaces, August 7-12, 2014

“群与空间几何”会议是国际数学家大会的卫星会议，将于2014年8月7日至12日在韩国大田举行。会议的目的是联合收割机和发展的想法，从代数，几何和拓扑学在新的和有趣的方式，并寻找新的应用这些想法。通过研究空间的对称群，几何和代数之间的联系是深刻而古老的，可以追溯到世纪菲利克斯·克莱因和亨利·庞加莱的开创性工作。该领域仍然活跃和相关的今天，戏剧性的进步，新技术和广泛的连接到许多数学领域。 本次会议将汇集数学家在所有职业阶段，使年轻的数学家互动和合作，并向高级研究人员学习的主要目标。所作演讲的笔记和录音将尽可能公开提供。会议关注的是最近的事态发展在epsilon领域，特别是在双曲几何，3-流形拓扑和几何，Teichmueller和模空间理论，几何群论。所有这些领域都是密切相关的，近年来取得了巨大的进展。具体重点讨论将包括对称空间的几何，虚拟哈肯猜想，射影结构，映射类群和自同构群的自由群，阿廷群，双曲群。会议的网址是http://icm.cayley.kr。

The conference "Geometry of Groups and Spaces" is a satellite conference of the International Congress of Mathematicians which will be held in Daejeon, Republic of Korea, from August 7-12, 2014. The conference aims to combine and develop ideas from algebra, geometry, and topology in new and interesting ways, and to search for new applications of these ideas. The connections between geometry and algebra through the study of symmetry groups of spaces are deep and venerable, going back to the seminal work of Felix Klein and Henri Poincare in the nineteenth century. The field remains active and relevant today, with dramatic advances, new techniques and broad connections to many fields of mathematics. This conference will bring together mathematicians in all career stages, with a primary goal of enabling young mathematicians to interact and collaborate with, and to learn from, senior researchers. Notes and recordings of lectures delivered will be made publicly available whenever possible. The conference is concerned with recent developments in the eponymous fields, especially within hyperbolic geometry, 3-manifold topology and geometry, Teichmueller and moduli space theory, and geometric group theory. All of these fields are intimately connected with each other and have experienced dramatic advances in recent years. Specific highlights to be discussed will include the geometry of symmetric spaces, the virtual Haken conjecture, projective structures, mapping class groups and automorphism groups of free groups, Artin groups, and hyperbolic groups. The website for the conference can be found at http://icm.cayley.kr.