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

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:
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
项目状态:
已结题
起止时间:
2014-02-01 至 2014-07-31

项目摘要

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中文摘要
翻译
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。这次会议的基本目标是将从事代数和双射组合学研究的教授、博士后、研究生和本科生聚集在一起。代数组合学,即应用代数工具解决组合问题,在过去的25年里一直是一个非常热门的研究领域。它最常用的工具包括母函数、对称多项式、标准Young表和偏序集的关联代数。这些高性能的代数工具经常表明,某些类别的遥视对象实际上具有相同的大小。这就是双射组合学出现在画面上的时候。如果两个看似不相关的对象类包含相同数量的元素,则很可能这两个类毕竟不是不相关的,并且它们之间存在双射。这些双词有时很难找到,但一旦找到,它们就会增强我们对手头课程的理解。
英文摘要
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.
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Conference: Conference on Enumerative and Algebraic Combinatorics
  • 批准号:
    2344639
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.24万
  • 财政年份:
    2024
  • 负责人:
    Vincent Vatter
  • 依托单位:
The Structure of Permutation Classes
  • 批准号:
    1301692
  • 项目类别:
    Standard Grant
  • 资助金额:
    $16.0万
  • 财政年份:
    2013
  • 负责人:
    Vincent Vatter
  • 依托单位:
PostDoctoral Research Fellowship
  • 批准号:
    0703620
  • 项目类别:
    Fellowship Award
  • 资助金额:
    $10.8万
  • 财政年份:
    2007
  • 负责人:
    Vincent Vatter
  • 依托单位:
海外基金