Conference and Workshop: Scattering and Inverse-Scattering in Multi-Dimensions, May 16-23, 2014

会议和研讨会：多维散射和逆散射，2014 年 5 月 16-23 日

• 批准号: 1408891
• 负责人: Peter Perry
• 金额: $ 2.87万
• 依托单位: University of Kentucky Research Foundation
• 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: 2014-03-15 至 2015-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1408891&HistoricalAwards=false
• 关键词: Conference; Workshop; Scattering; Inverse; Multi

The meeting "Scattering and Inverse-Scattering in Multi-Dimensions" will be held on the campus of the University of Kentucky, Lexington, KY, during the period May 15-23, 2014. The meeting features three days of conference talks (including tutorials) on May 15-17 followed by five days of workshop activity on May 19-23, separated by a break on May 18. The purpose of this conference is to bring together workers in integrable systems, dispersive nonlinear equations, and inverse scattering to forge collaborative links and advance research on completely integrable, two-dimensional systems, particularly dispersive models of nonlinear waves and normal matrix models. The meeting will pursue several lines of inquiry: (1) semiclassical limits of the direct and inverse scattering transforms, (2) eigenvalue distributions of random normal matrices, (3) exceptional sets and soliton solutions, and (4) one-dimensional limits of two-dimensional integrable systems. This conference will bring together participants with expertise in pure and applied mathematics to attack problems with relevance for applications in physics, engineering, medicine, and oceanography. Applications to physics include models of random media, solvable models in statistical physics, mesoscopic physics, biophysical models, and water wave theory. Applications to engineering and medicine include non-destructive testing of materials and medical imaging. A common mathematical structure underlies all of these applications: the goal is to make progress in the understanding of applications in these diverse areas through collaboration among pure mathematicians, applied mathematicians, and numerical analysts. The award supports participation in the meeting by twenty junior researchers and fifteen senior researchers.Meeting web site: math.as.uky.edu/scattering-and-inverse-scattering-multidimensions

“多维散射和逆散射”会议将于2014年5月15日至23日在肯塔基大学列克星敦分校举行。本次会议将于5月15日至17日举行为期三天的会议讲座(包括教程)，随后于5月19日至23日举行为期五天的研讨会活动，其间于5月18日休息。本次会议的目的是将可积系统、色散非线性方程和逆散射的研究人员聚集在一起，以建立协作联系，并推进对完全可积的二维系统，特别是非线性波的色散模型和正规矩阵模型的研究。会议将探讨几个问题：(1)正、逆散射变换的半经典极限，(2)随机正规矩阵的特征值分布，(3)例外集和孤子解，以及(4)二维可积系统的一维极限。本次会议将汇集具有纯数学和应用数学专业知识的与会者，以解决与物理、工程、医学和海洋学应用相关的问题。物理学的应用包括随机介质模型、统计物理中的可解模型、介观物理、生物物理模型和水波理论。在工程和医学方面的应用包括材料的无损检测和医学成像。所有这些应用的基础是一个共同的数学结构：目标是通过纯数学家、应用数学家和数值分析师之间的合作，在理解这些不同领域的应用方面取得进展。该奖项支持20名初级研究人员和15名高级研究人员参加会议。会议网址：math.as.uky.edu/scattering-and-inverse-scattering-multidimensions