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

群与空间的几何，2014 年 8 月 7-12 日

• 批准号: 1431070
• 负责人: Yair Minsky
• 金额: $ 4.2万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-07-15 至 2015-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1431070&HistoricalAwards=false
• 关键词: Geometry; Groups; Spaces; August; 12

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.

“群和空间的几何”会议是国际数学家大会的附属会议，将于2014年8月7日至12日在韩国大田举行。该会议旨在结合和发展代数、几何的思想和拓扑以新的和有趣的方式，并寻找这些想法的新应用。通过空间对称群的研究，几何学和代数之间的联系是深刻而古老的，这可以追溯到十九世纪费利克斯·克莱因和亨利·庞加莱的开创性工作。如今，该领域仍然活跃且具有相关性，取得了巨大的进步、新技术以及与许多数学领域的广泛联系。 这次会议将汇集各个职业阶段的数学家，其主要目标是使年轻数学家能够与资深研究人员互动、合作并向其学习。讲座的笔记和录音将尽可能公开。会议关注同名领域的最新发展，特别是双曲几何、三流形拓扑和几何、Teichmueller 和模空间理论以及几何群论。所有这些领域都彼此密切相关，并且近年来取得了巨大的进步。具体讨论的重点将包括对称空间的几何、虚哈肯猜想、射影结构、映射类群和自由群的自同构群、Artin群和双曲群。会议网站如下：http://icm.cayley.kr。