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.

会议“团体和空间的几何形状”是国际数学家大会的卫星会议，该会议将于2014年8月7日至12日在大韩民国大会举行。该会议旨在将代数，几何学和拓扑结合和开发新的想法，并搜索这些想法的新应用。通过研究对称空间的几何形状与代数之间的联系是深刻而尊敬的，可以追溯到19世纪Felix Klein和Henri Poincare的开创性工作。当今该领域保持活跃和相关，并具有巨大的进步，新技术和与许多数学领域的广泛联系。 这次会议将在各个职业阶段汇集数学家，其主要目标是使年轻的数学家能够与高级研究人员进行互动和合作和合作。将在可能的情况下公开提供讲座的注释和记录。该会议涉及同名领域的最新发展，尤其是在双曲几何，3个manifold拓扑和几何学，Teichmueller和Moduli空间理论以及几何组理论中。所有这些领域彼此之间密切相关，并且近年来经历了巨大的进步。要讨论的特定亮点将包括对称空间的几何形状，虚拟的Haken猜想，投射结构，映射课程组和自由组，自由组，ARTIN组和双曲线组的自动形态群体。会议的网站可以在http://icm.cayley.kr上找到。