USA-Sweden Collaborative Workshop in Algebraic Combinatorics

美国-瑞典代数组合学合作研讨会瑞典Djursholm的mittagleffler研究所将在2005年春季致力于一个名为“代数组合学”的特别项目。在这个项目中，我们提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。我们请求资金支持六名来自美国的年轻研究人员参加这个合作研讨会，每人两到三个月。本次研讨会将为这些年轻数学家提供一个独特的机会，与来自瑞典的同行以及斯堪的纳维亚、西欧和亚洲的领域领导者开展合作。从长远来看，研讨会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。该课程的主题将是组合学与其他数学分支如代数、几何和拓扑学之间的相互作用。至少有28位世界领先的代数组合研究人员已经同意参加这个项目，每人至少一个月。课程将研究的主题包括经典的枚举组合（例如mills - robbins - ramsey猜想，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，在计算代数中的应用，最小三角测量），以及与代数的联系(n！猜想，舒伯特和格罗滕迪克多项式，带状表)。

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).