Constructive Functions 2014 Conference and School

2014 年会议和学校建设性活动

• 批准号: 1363146
• 负责人: Douglas Hardin
• 金额: $ 3.22万
• 依托单位: Vanderbilt University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-02-01 至 2015-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1363146&HistoricalAwards=false
• 关键词: Constructive; Functions; 2014; Conference

The Constructive Functions 2014 Conference and School will be a five day event dedicated to constructive function theory and related fields; it will occur May 26-30, 2014, at Vanderbilt University in Nashville, Tennessee. The conference will focus on orthogonal polynomials, potential theory, discrete and continuous energy problems, special functions, Padé approximation, polynomial inequalities, and various problems related to optimization and efficiency. The plenary speakers will deliver research level talks on topics such as the connection between orthogonal polynomials, operator theory, and random matrices; polynomial approximation and applications to numerical analysis and quadrature; and Riemann Hilbert problems. Parallel sessions of non-plenary speakers will include many more topics. Furthermore, the event will include four lectures (the school) aimed at young researchers and designed to provide an introduction to important research topics in constructive function theory. Topics to be covered are Riemann Hilbert problems for orthogonal and multiple orthogonal polynomials, discrete minimum energy problems, orthogonal polynomials on finite gap sets, and numerical computing with functions and approximation.This conference and school presents an exceptional opportunity for many researchers in constructive function theory. While a special emphasis will be placed on young researchers during the school portion of this event, the new research presented at the conference will help progress the discipline and foster communication and collaboration between researchers from around the world. An active field of research for more than a hundred years, constructive function theory has found new applications in many areas of science including the modeling of physical processes with random matrices, the modeling of geological phenomena using potential theory, and machine assisted numerical analysis. The applicability of results in this field is intimately linked to the wide variety of subjects that it includes. This conference and school aims to be an inclusive event that brings together researchers from all aspects of constructive function theory to share the results of their past research and explore the possibilities for future discovery.

建构功能2014会议和学校将是一个为期五天的活动，致力于建构功能理论和相关领域；它将于2014年5月26日至30日在田纳西州纳什维尔的范德比尔特大学举行。会议将集中讨论正交多项式、势理论、离散和连续能量问题、特殊函数、帕德约尔近似、多项式不等式以及与优化和效率相关的各种问题。全体会议的主讲人将围绕正交多项式、算子理论和随机矩阵之间的联系等主题进行研究层面的演讲；多项式逼近及其在数值分析和正交中的应用；和黎曼希尔伯特问题。非全体会议发言者的平行会议将包括更多的议题。此外，该活动将包括四场针对年轻研究人员的讲座（学院），旨在介绍构建函数理论的重要研究课题。课程主题包括正交多项式和多重正交多项式的黎曼希尔伯特问题，离散最小能量问题，有限间隙集上的正交多项式，以及函数和近似的数值计算。这次会议和学校为许多建构功能理论的研究者提供了一个难得的机会。虽然在本次活动的学校部分将特别强调年轻的研究人员，但会议上提出的新研究将有助于促进该学科的发展，并促进来自世界各地的研究人员之间的交流与合作。构造函数理论是一个活跃了一百多年的研究领域，它在许多科学领域都有新的应用，包括用随机矩阵建模物理过程，用势理论建模地质现象，以及机器辅助数值分析。这一领域的结果的适用性与它所包括的各种各样的主题密切相关。本次会议和学校旨在成为一个包容性的活动，汇集了建构功能理论各个方面的研究人员，分享他们过去的研究成果，并探索未来发现的可能性。