Conference on Bijective and Algebraic Combinatorics, March 24-25, 2014.

该奖项将提供资金，以支持为期两天的会议在佛罗里达大学在2014年3月24日至25日。会议的基本目标是汇集教授，博士后，研究生和本科生工作的代数和双射组合。代数组合，即应用代数工具来解决组合问题，一直是一个非常热门的研究领域，在过去的25年。它最常用的工具包括生成函数、对称多项式、标准杨表格和偏序集的关联代数。这些高性能的代数工具经常表明，某些类的远程对象实际上具有相同的大小。这就是双射组合学出现的时候。如果两类看似不相关的对象包含相同数量的元素，那么这些类很可能根本不是不相关的，它们之间存在双射。这些双射有时很难找到，但一旦找到它们，它们会增强我们对手头类的理解。

This award will provide funds to support a two-day conference at the University of Florida during March 24-25, 2014. The basic objective of the conference is to bring together professors, post-docs, and graduate and undergraduate students working on both algebraic and bijective combinatorics.Algebraic combinatorics, that is, the application of algebraic tools to solve combinatorial problems, has been a very popular area of research in the last 25 years. Its most frequently used tools include generating functions, symmetric polynomials, Standard Young Tableaux, and the incidence algebra of a partially ordered set. These high-powered algebraic tools often show that some classes of remote-looking objects in fact have the same size. That is when bijective combinatorics comes in the picture. If two classes of objects that seem to be unrelated contain the same number of elements, then it is quite possible that those classes are not unrelated after all, and there is a bijection between them. These bijections are sometimes quite challenging to find, but once they are found, they enhance our understanding of the classes at hand.