USA-Sweden Collaborative Workshop in Algebraic Combinatorics

位于瑞典朱尔绍尔姆的米塔格-莱弗勒研究所将于2005年春季开展一个名为“代数组合学”的特别项目。“在这个项目之际，我们建议为来自瑞典和美国的年轻研究人员组织一次合作研究体验。我们请求资助六名来自美国的年轻研究人员参加这次合作研讨会，每人为期两到三个月。这次研讨会将为这些年轻的数学家提供一个独特的机会，与来自瑞典的同行以及来自斯堪的纳维亚，西欧和亚洲的领导者开展合作。从长远来看，讲习班将增加这些年轻数学家成为代数组合学和相关领域的主要研究人员的潜力。该计划的主题将是组合数学与代数，几何和拓扑等其他数学分支之间的相互作用。 至少有28位世界领先的代数组合学研究人员同意参加该计划，每人至少一个月。在该计划期间将调查的主题包括经典的枚举组合学（例如，Mills-Robbins-拉姆西定理，有限和仿射Coxeter群的统计），凸多面体（边界结构，标志f-向量，直径，Charney-Davis猜想，计算代数的应用，最小三角剖分），以及与代数的联系（n！猜想，舒伯特和格罗滕迪克多项式，丝带tableaux）。

USA-Sweden Collaborative Workshop in Algebraic CombinatoricsThe Mittag-Leffler Institute in Djursholm, Sweden, will devote the spring of 2005 to a special program entitled "Algebraic Combinatorics." On the occasion of this program, we propose to organize a collaborative research experience for young researchers from Sweden and the US. We request funds to support the participation of six young researchers from the US for two to three months each in this collaborative workshop. This workshop will provide a unique opportunity for these young mathematicians to develop collaborations with their counterparts from Sweden, as well as with leaders in the field from Scandanavia, Western Europe, and Asia. In the long term the workshop will increase the potential for these young mathematicians to become leading researchers in algebraic combinatorics and related areas. The theme of the program will be the interaction between combinatorics and such other branches of mathematics as algebra, geometry, and topology. At least 28 of the world's leading researchers in algebraic combinatorics have agreed to participate in the program for at least one month each. Topics that will be investigated during the program include classical enumerative combinatorics (e.g., the Mills-Robbins-Rumsey conjectures, statistics on finite and affine Coxeter groups), convex polytopes (boundary structure, flag f-vectors, diameters, Charney-Davis conjecture, applications to computational algebra, minimal triangulations), and connections with algebra (outgrowths of the n! conjecture, Schubert and Grothendieck polynomials, ribbon tableaux).