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

双射和代数组合会议，2014 年 3 月 24-25 日。

• 批准号: 1400098
• 负责人: Vincent Vatter
• 金额: $ 1.2万
• 依托单位: University of Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-02-01 至 2014-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1400098&HistoricalAwards=false
• 关键词: Conference; Bijective; Algebraic; Combinatorics; March

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.

该奖项将为2014年3月24日至25日在佛罗里达大学举行的为期两天的会议提供资金支持。会议的基本目标是将研究代数和双目标组合的教授、博士后、研究生和本科生聚集在一起。代数组合学，即应用代数工具来解决组合问题，在过去的25年中已经成为一个非常流行的研究领域。它最常用的工具包括生成函数、对称多项式、标准杨氏表和偏序集的关联代数。这些高性能的代数工具经常显示，某些类的远程对象实际上具有相同的大小。这就是双目标组合学出现的时候。如果两类似乎不相关的对象包含相同数量的元素，那么很可能这些类根本不是不相关的，它们之间存在双射。有时候很难找到这些对偶项，但是一旦找到了，它们就增强了我们对手头类的理解。