CBMS Regional Conference in the Mathematical Sciences - Algebraic and Topological Combinatorics of Ordered Sets - 18 - 22 July, 2005

CBMS 数学科学区域会议 - 有序集的代数和拓扑组合 - 2005 年 7 月 18 - 22 日

• 批准号: 0434402
• 负责人: Joseph Gubeladze
• 金额: --
• 依托单位: San Francisco State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-07-01 至 2006-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0434402&HistoricalAwards=false
• 关键词: CBMS; Regional; Conference; Mathematical; Sciences

The enumerative aspects of algebraic combinatorics with its strong connections to representation theory and algebraic geometry has been a very active area of research for decades. Other enumerative questions related to the number of faces of polytopes, simplical complexes, triangulated and homology spheres, and hyperplane and subspace arrangements had an explosive growth since the mid-70's. We propose to organize a CBMS lecture series that will showcase the topological and algebraic aspects of this development by ten lectures given by Anders Bjorner who has been at the vanguard of this revolution from its early days. The proposed conference will focus on topics where posets have played an important role. Anders Bjorner is the leading expert on algebraic and topological combinatorics that is relevant to partially ordered sets. His lectures will be a comprehensive summary of the contemporary topological combinatorics related to partially ordered sets. This will have a strong influence on the future research of the participants and local combinatorics community.

数十年来，代数组合制剂的列举方面及其与代表理论和代数几何形状的牢固联系一直是一个非常活跃的研究领域。自70年代中期以来，与多型面孔，简单复合物，三角形和同源性领域以及超平面和子空间布置相关的其他列举问题。我们建议组织一个CBMS讲座系列，该系列将通过安德斯·比约纳（Anders Bjorner）的十个讲座展示这一发展的拓扑和代数方面，后者从早期开始就一直在这场革命的先锋队。 拟议的会议将重点介绍Posets发挥重要作用的主题。 Anders Bjorner是代数和拓扑组合学的领先专家，与部分有序集有关。他的讲座将是与部分有序集有关的当代拓扑组合学的全面摘要。这将对参与者和本地组合社区的未来研究产生强大的影响。