International Workshop on Special Functions, Orthogonal Polynomials, Quantum Groups and Related Topics

特殊函数、正交多项式、量子群及相关主题国际研讨会

• 批准号: 0326739
• 负责人: Sergei Suslov
• 金额: $ 0.7万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-07-01 至 2004-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0326739&HistoricalAwards=false
• 关键词: International; Workshop; Special; Functions; Orthogonal

We propose to organize an International Workshop on Special Functions, Orthogonal Polynomials, Quantum Groups and Related Topics dedicated to Richard Askey on his 70th birthday. Date: 18--22 October 2003. Location: Hotel Hochwiesmuehle, Bexbach/Saarland, Germany. International Organizing Committee: Erik Koelink (Delft University of Technology, The Netherlands), Tom Koornwinder (KdV Institute, University of Amsterdam, The Netherlands), Jasper Stokman (KdV Institute, University of Amsterdam, The Netherlands), Andreas Ruffing (Munich University of Technology, Germany), Sergei Suslov (Arizona State University, United States). Local Organizing Committee: Andreas Ruffing (Chair), Kristine Ey, Clemens Lindemann (President of Saarpfalz District), Heinz Mueller (Mayor of the Town of Bexbach).The area of special functions, in general and q-series in particular, has seen major and significant advances in the last thirty years. Recently the subject is being applied in different areas of mathematics and physics. The focus of the proposed workshop will be on the active research areas in special functions and their applications influenced by Richard Askey. This is especially important at a time, like the present, when the subject is being applied in many areas including quantum group, combinatorics, number theory, completely integrable systems, mathematical physics.The main emphasis of the meeting will be the theory of special functions and their applications. A point of emphasis will be on recent developments in classical orthogonal polynomials, or Askey--Wilson polynomials and their special and/or limiting cases, biorthogonal rational functions, Leonard's pairs, integral transforms including q-Fourier transform and Askey--Wilson function transform, q-Fourier series, Askey--Wilson operators and their inverses, quantum groups and special functions, q-harmonic oscillators, and others.The workshop will have truly international character; it will bring together all ``generations'' of Askey's mathematical family: from the world top leaders to young researchers and graduate students who are engaged in development of modern theory of special functions, q-series and their applications.

我们提议在理查德·阿斯基（Richard Askey）70岁生日之际组织一次关于特殊函数、正交多项式、量子群及相关主题的国际研讨会。日期：2003年10月18日至22日。地点：酒店Hochwiesmuehle，贝克斯巴赫/萨尔兰，德国。国际组织委员会：Erik Koelink（荷兰德尔夫特理工大学）、Tom Koornwinder（荷兰阿姆斯特丹大学KdV研究所）、碧玉·斯托克曼（荷兰阿姆斯特丹大学KdV研究所）、Andreas Ruffing（德国慕尼黑理工大学）、Sergei Suslov（美国亚利桑那州立大学）。地方组织委员会：Andreas Ruffing（主席），Kristine Ey，Clemens Lindemann（Saarpfalz区主席），海因茨Mueller（Bexbach市市长）。在过去的三十年里，特殊功能领域，特别是q系列，取得了重大的进步。近年来，这一主题被应用于数学和物理的不同领域。拟议的研讨会的重点将是在特殊功能及其应用的影响理查德阿斯基的积极研究领域。这是特别重要的时候，像现在这样，当这个问题被应用在许多领域，包括量子群，组合学，数论，完全可积系统，数学物理。会议的主要重点将是特殊函数的理论及其应用。重点将放在经典正交多项式，或Askey-Wilson多项式及其特殊和/或极限情况，双正交有理函数，伦纳德对，积分变换，包括q-傅立叶变换和Askey-Wilson函数变换，q-傅立叶级数，Askey-Wilson算子及其逆，量子群和特殊函数，q-谐振子，该研讨会将具有真正的国际性;它将汇集所有“世代”的Askey的数学家庭：从世界顶级领导人到年轻的研究人员和研究生谁是从事发展现代理论的特殊功能，q系列及其应用。