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

“群和空间的几何”会议是将于2014年8月7日至12日在大韩民国大田举行的国际数学家大会的卫星会议。会议旨在以新的和有趣的方式结合和发展代数、几何和拓扑学的思想，并探索这些思想的新应用。通过研究空间的对称群，几何和代数之间的联系是深刻和古老的，这可以追溯到19世纪Felix Klein和Henri Poincare的开创性工作。这个领域今天仍然活跃和相关，取得了巨大的进步，新的技术和与许多数学领域的广泛联系。这次会议将汇聚所有职业阶段的数学家，主要目标是使年轻的数学家能够与资深研究人员互动、合作并向他们学习。授课笔记和授课录音将尽可能公开。会议关注的是同名领域的最新发展，特别是在双曲几何、三维流形拓扑和几何、Teichmueller和模空间理论以及几何群论方面。所有这些领域都是密切相关的，并在最近几年经历了巨大的进步。将讨论的具体重点包括对称空间的几何、虚拟Haken猜想、射影结构、自由群、Artin群和双曲群的映射类群和自同构群。会议的网址为：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.