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

代数组合学的计数方面与表示论和代数几何有着密切的联系，几十年来一直是一个非常活跃的研究领域。其他与多面体、单纯复形、三角化和同调球面以及超平面和子空间排列的面数相关的枚举问题自70年代中期以来呈爆炸性增长。我们建议组织一个CBMS系列讲座，将展示拓扑和代数方面的这一发展的10个讲座由安德斯Bjorner谁一直在先锋这场革命从其早期。 拟议的会议将集中在偏序集发挥了重要作用的主题。Anders Bjorner是与偏序集相关的代数和拓扑组合学的领先专家。他的讲座将是一个全面的总结当代拓扑组合学有关 偏序集这将对参与者和当地组合学社区的未来研究产生重大影响。

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.