Celebration of Combinatorics 2014, June 23-27, 2014

该奖项为将于2014年6月23日至6月27日在麻省理工学院举行的“2014年组合数学庆典”会议提供支持。 会议致力于组合学的最新发展，特别是代数，枚举，几何和拓扑组合学。 它侧重于组合数学的不同领域之间的联系，以及组合数学与其他领域之间的联系，如交换代数，代数几何，表示论和拓扑学。 以下主题列表显示了会议的研究重点：单纯复形，组合学和凸几何，组合表示论，舒伯特微积分的组合方面，组合学的总积极性和集群代数，超平面安排理论，组合交换代数，对称函数理论。这次会议将使许多研究人员在组合学领域的工作，相互学习。 组合数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各种问题，从寻找有效的算法到理解粒子的基本物理。

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.