NSF/CBMS Regional Conference in Mathematical Sciences--'Algebraic Combinatorics'- June 4, 2001 - June 8, 2001

NSF/CBMS 数学科学地区会议 - “代数组合”- 2001 年 6 月 4 日 - 2001 年 6 月 8 日

• 批准号: 0085656
• 负责人: Naihuan Jing
• 金额: $ 2.93万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-01-01 至 2001-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0085656&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

Recently combinatorial methods have played important role in mathematical research. The theory of symmetric polynomials and other (non-symmetric) classical polynomials is particular important due to its applications in topology, representation theory, algebraic geometry, algebraic number theory as well as mathematical physics. Schur polynomials and Schubert polynomials stand out as one of the major combinatorial objects in connections with the enumerative geometry of manifolds, Yang-Baxter equations, Hecke algebras and quantum groups. In order to make this area of investigation accessible to a wide audience we are holding an NSF/CBMS regional conference on Algebraic Combinatorics at North Carolina State University in Raleigh during June 4-8, 2001. The principal speaker is Professor Alain Lascoux, from Universite de Marne-la-Vallee, who will give a series of 10 lectures on ``Multivariate Polynomials''. As a leading figure in algebraic combinatorics, Professor Lascoux (himself and jointly with his coauthors) developed many key concepts and tools in this field. During the 10-hour lectures he will present the theoriesof multi-Schur functions, lambda-rings, divided differences as well as applications to Yang-Baxter equations. The lecture notes of Prof. Lascoux will be published by CBMS within one year after the conference. The conference's main purpose is to attract newcomers and the secondary purpose is to provide a venue of discussions for experts.

最近，组合方法在数学研究中起着重要作用。 对称多项式和其他（非对称）经典多项式的理论特别重要，因为它在拓扑，表示理论，代数几何，代数数，代数数理论以及数学物理学中的应用。 Schur多项式和Schubert多项式是与歧管，Yang-Baxter方程，Hecke代数和量子组的枚举几何形状连接的主要组合对象之一。 为了使广泛的受众群体可以接触到该领域的调查领域，我们在2001年6月4日至8日举行了在拉利北卡罗莱纳州立大学举行的NSF/CBMS区域大会。 作为代数组合主义者的主要人物，拉斯科克斯教授（本人并与他的合着者共同）在该领域开发了许多关键概念和工具。在10小时的讲座期间，他将介绍多形函数，lambda环的理论，分裂差异以及对杨巴克斯特方程的应用。 Lascoux教授的讲义将在会议结束后的一年内由CBM发表。会议的主要目的是吸引新移民，次要目的是为专家提供讨论场所。