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.

近年来组合方法在数学研究中发挥了重要作用。 对称多项式和其他（非对称）经典多项式的理论因其在拓扑、表示论、代数几何、代数数论以及数学物理中的应用而显得尤为重要。 舒尔多项式和舒伯特多项式是与流形枚举几何、杨-巴克斯特方程、赫克代数和量子群相关的主要组合对象之一。 为了让广大读者了解这一领域的研究，我们将于 2001 年 6 月 4 日至 8 日在位于罗利的北卡罗来纳州立大学举办 NSF/CBMS 代数组合区域会议。主要发言人是大学的 Alain Lascoux 教授。 de Marne-la-Vallee，他将就“多元多项式”进行一系列 10 场讲座。 作为代数组合学领域的领军人物，拉斯科教授（他本人以及与他的合著者）在该领域开发了许多关键概念和工具。在 10 小时的讲座中，他将介绍多重 Schur 函数、lambda 环、除差的理论以及在 Yang-Baxter 方程中的应用。 Lascoux教授的讲稿将在会议结束后一年内由CBMS出版。会议的主要目的是吸引新人，次要目的是为专家提供讨论的场所。