Celebration of Combinatorics 2014, June 23-27, 2014

该奖项为“2014年组合学庆典”会议提供支持，该会议将于2014年6月23日至27日在麻省理工学院举行。会议致力于组合学的最新发展，特别是在代数、枚举、几何和拓扑组合学方面。它关注组合学不同领域之间的联系，以及组合学与其他领域之间的联系，如交换代数、代数几何、表示理论和拓扑学。下面的主题列表显示了会议的研究重点：简单复合体、组合与凸几何、组合表示理论、舒伯特微积分的组合方面、全正代数与簇代数的组合、超平面排列理论、组合交换代数、对称函数理论。这次会议将使许多在组合学领域工作的研究人员能够相互学习。这将促进组合学应用的进一步发展。组合学是研究离散结构的一个数学领域。枚举组合学的一个典型问题是“如何计数（某种结构）？”组合问题出现在纯数学和应用数学、计算机科学、物理学和其他科学的许多领域。近年来，组合技术被成功地应用于从寻找有效的算法到理解粒子的基本物理等一系列不同的问题。

This award provides support for the conference "Celebration of Combinatorics 2014," which will be held at MIT from June 23 to June 27, 2014. The conference is devoted to recent developments in combinatorics, especially in algebraic, enumerative, geometric, and topological combinatorics. It is focused on connections between different areas of combinatorics and between combinatorics and other fields such as commutative algebra, algebraic geometry, representation theory, and topology. The following list of topics shows the research emphasis of the conference: simplicial complexes, combinatorics and convex geometry, combinatorial representation theory, combinatorial aspects of Schubert calculus, combinatorics of total positivity and cluster algebras, the theory of hyperplane arrangements, combinatorial commutative algebra, the theory of symmetric functions. This conference will enable the many researchers working in the area of combinatorics to learn from each other. It will promote further development of applications of combinatorics.Combinatorics is an area of mathematics concerning the study of discrete structures. A typical question of enumerative combinatorics is "How to count (structures of some kind)?" Combinatorial problems arise in many areas of pure and applied mathematics, computer science, physics, and other sciences. In recent years, combinatorial techniques were successfully applied to a range of various problems from finding efficient algorithms to understanding fundamental physics of particles.