Homotopical Group Theory and Topological Algebraic Geometry, June 2008

同伦群论和拓扑代数几何，2008 年 6 月

• 批准号: 0802491
• 负责人: Brooke Shipley
• 金额: $ 4.08万
• 依托单位: University of Illinois at Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-06-01 至 2010-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0802491&HistoricalAwards=false
• 关键词: Homotopical; Group; Theory; Topological; Algebraic

This project will support travel to the conference "Homotopical Group Theory and Topological Algebraic Geometry,"at the University of Copenhagen and at the Max Planck Institut in Bonn in June 2008. Homotopical Group Theory and Topological Algebraic Geometry involve the interaction at the highest level of formerly distant areas of mathematics. They are bound together by a common toolbox from modern homotopy theory. Homotopical Group Theory has shed light on fundamental issues such as the structure of classifying spaces and group actions, and the nature and classification of compact Lie groups. It has very recently shown the potential of shedding new light on the classification of finite simple groups. Topological Algebraic Geometry brings together ideas from algebraic geometry and homotopy theory. It has contributed to significant advances in bothareas, including elliptic cohomology and the relationship between the chromatic stable homotopy theory and the Langlands program.Homotopical Group Theory and Topological Algebraic Geometry are new areas of mathematics, and they have recently enjoyed explosive development by researchers around the world. The conference supported by this proposal will begin at the University of Copenhagen, focused on two series of lectures by Paul Goerss of Northwestern University and Bill Dwyer of the University of Notre Dame and aimed at beginning researchers. The following week at the Max Planck Institut, leading researchers will report on the latest developments. The idea is to bring together current leaders and new researchers, and to enable interaction and cross-fertilization of ideas among a broad group of mathematicians.

该项目将支持哥本哈根大学和2008年6月在波恩的Max Planck Institut举行的会议“同源群体理论和拓扑代数几何”。 它们由现代同义理论的通用工具箱束缚在一起。同位群体理论揭示了基本问题，例如分类空间和群体行动的结构以及紧凑型谎言群体的性质和分类。最近，它显示了对有限简单组分类的新灯的潜力。 拓扑代数的几何形状汇集了代数几何学和同型理论的思想。 它促进了毛病的重大进展，包括椭圆形的同胞学以及色彩稳定的同型理论与兰兰兹计划之间的关系。主体群体理论和拓扑代数几何学是数学的新领域，而且最近，世界各地的研究人员都享受了爆炸性的发展。 该提案支持的会议将在哥本哈根大学开始，重点介绍了西北大学的保罗·盖尔斯（Paul Goerss）的两次演讲，以及巴黎圣母院大学的比尔·德威尔（Bill Dwyer），旨在开始研究人员。 接下来的一周在马克斯·普朗克学院（Max Planck Institut），主要研究人员将报告最新的发展。 这个想法是将当前的领导者和新研究人员汇集在一起​​，并在广泛的数学家中促进思想的互动和交叉侵占。