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

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）经典多项式的理论由于其在拓扑学、表示论、代数几何、代数数论以及数学物理中的应用而特别重要。 Schur多项式和Schubert多项式是与流形的枚举几何、杨-巴克斯特方程、Hecke代数和量子群有关的主要组合对象之一。 为了使这一领域的调查，以广泛的观众，我们正在举行一个国家科学基金会/CBMS区域会议代数组合在北卡罗来纳州州立大学在罗利在2001年6月4日至8日。主讲人是马恩河谷大学的Alain Lascoux教授，他将作关于“多元多项式”的10场系列讲座。 作为代数组合学的领军人物，Lascoux教授（他自己和他的合著者）在这一领域开发了许多关键概念和工具。在10个小时的讲座中，他将介绍多Schur函数，Schurda环，除差以及应用于Yang-Baxter方程的理论。 Lascoux教授的演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来者，次要目的是为专家提供一个讨论场所。

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.