The 2009 Graduate Student Combinatorics Conference; Spring 2009; Lexington, KY

2009年研究生组合学会议；

• 批准号: 0913073
• 负责人: Margaret Readdy
• 金额: $ 0.86万
• 依托单位: University of Kentucky Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-03-15 至 2010-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0913073&HistoricalAwards=false
• 关键词: 2009; Graduate; Student; Combinatorics; Conference

The proposal is to provide partial support for seventy-five graduate students and the keynote speaker Richard Stanley (MIT) to attend the 2009 Graduate Student Combinatorics Conference. The University of Kentucky is hosting this event. The twenty-four student research and expository talks and twenty-five posters at the poster sessions are a representative sampling of current trends in algebraic, geometric and topological combinatorics. The talk topics include: tropical oriented matroids, Coxeter graphs, k-Schur polynomials, permutation enumeration, Hopf algebras, non-crossing partition lattices, sporadic groups, the Rogers-Ramanujan identities, Hamiltonian decompositions of multigraphs, free and non-free hyperplane arrangements, energy of graphs and digraphs, the Monotone Column Permanent conjecture and k-parabolic subspace arrangments. The participants hail from leading combinatorics graduate programs in the United States and Canada. The results intersect work of researchers from a wide variety of areas of combinatorics, including Ardila and Develin, Babson and Steingrimsson, Barcelo, Billera and Brenti, Bressoud, Ehrenborg and Readdy, Fukuyama, Goulden and Jackson, Haglund, Knutson and Miller, and Stanley.This conference serves to give young researchers in combinatorics a welcoming medium to present their results, an opportunity to make new professional contacts, and a forum to showcase new results and trends in combinatorics. The field of combinatorics is a growing, vibrant and interdisciplinary area of mathematics. Combinatorialists use techniques from algebra, topology, geometry, and more recently, harmonic analysis and algebraic statistics to understand discrete structures. Combinatorial methods are applied to questions in the sciences, including those stemming from genetics, biology and physics. The GSCC will expose the participants to many of the new ideas, leading developments and techniques in combinatorics, will augment the mathematics they are currently seeing at their home institutions, and will continue to foster the interdisciplinary nature of the field of combinatorics. Additionally, the poster session will encourage greater networking and interaction among the participants and these new professional contacts may very likely result in future research projects.

该建议是提供部分支持七十五研究生和主讲人理查德斯坦利（麻省理工学院）参加2009年研究生组合学会议。 肯塔基州大学主办这次活动。 二十四个学生的研究和讲座和25海报在海报会议是当前趋势的代数，几何和拓扑组合学的代表性抽样。 讲座主题包括：热带定向拟阵，Coxeter图，k-Schur多项式，置换计数，Hopf代数，非交叉划分格，散点群，Rogers-Ramanujan恒等式，多重图的Hamilton分解，自由和非自由超平面排列，图和有向图的能量，单调列永久猜想和k-抛物子空间猜想。 参与者来自美国和加拿大领先的组合学研究生课程。 结果交叉的研究人员的工作，从各种各样的领域的组合，包括阿迪拉和巴丁，巴布森和Steingrimsson，Brachio，Billera和Brenti，Bressoud，Ebergborg和Readdy，福山，Goulden和杰克逊，Haglund，Knutson和米勒，和斯坦利。这次会议旨在给年轻的研究人员在组合一个欢迎的媒介，以展示他们的结果，一个机会，使新的专业接触，以及一个展示组合学新成果和趋势的论坛。组合数学领域是一个不断发展、充满活力和跨学科的数学领域。 组合主义者使用代数、拓扑、几何以及最近的调和分析和代数统计来理解离散结构。 组合方法被应用于科学问题，包括那些源于遗传学，生物学和物理学。GSCC将使参与者接触到许多新的想法，组合学的领先发展和技术，将增强他们目前在家乡机构看到的数学，并将继续促进组合学领域的跨学科性质。 此外，海报会议将鼓励与会者之间更多的网络和互动，这些新的专业联系很可能导致未来的研究项目。