CBMS Conference: The Solution of Problems in Multiply-Connected Domains

CBMS会议：多连通域问题的解决方案

• 批准号: 1743920
• 负责人: Thomas Trogdon
• 金额: $ 3.5万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-11-01 至 2018-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1743920&HistoricalAwards=false
• 关键词: CBMS; Conference; Solution; Problems; Multiply

This National Science Foundation award supports a 5-day CBMS conference on "The Solution of Problems in Multiply-Connected Domains," at the University of California Irvine, Irvine, CA, June 18-22, 2018. Broadly, this conference is based around the use of methods from complex analysis to solve problems that arise in water waves, fluid flow and nuclear physics. The conference features the principal speaker, Professor Darren Crowdy of Imperial College London. He is a leading expert on the applications of complex analysis. Prof. Crowdy will deliver 10 lectures and produce a monograph to be published in the CBMS series, providing an important reference for mathematicians and engineers. This award will sponsor a diverse group of additional speakers and attendees from both Southern California and the the remainder of the United States. The chosen dates follow the SIAM meeting on Nonlinear Waves and Coherent Structures which will be held in nearby Anaheim, CA, June 11-14, 2018. This activity increases the research activity within Southern California.Advanced topics in complex analysis are being studied from a computational point of view with increased depth. Important examples are the numerical computation of conformal mappings, computing with compact Riemann surfaces using a variety of methods and the numerical solution of Riemann-Hilbert problems. These topics are important for a large array of (applied) mathematical areas such as integrable partial differential equations, random matrix theory, special functions, etc. These themselves lead to a variety of science and engineering applications. Very recently, in multi-phase physics the so-called Laplacian growth problem has been realized to have an underlying integrable structure linking it to the Toda and Whitham integrable hierarchies. The principal speaker has been very much a part of these developments in the last 20 years. Prof. Crowdy has pioneered a new constructive framework for solving problems in multiply connected planar domains which has led to a panoply of new results in the applied sciences. One of the most visible examples of Prof. Crowdy's work is his extension of the famous Schwarz-Christoffel formula from 1860 to multiply connected domains. The conference website is located at: https://www.math.uci.edu/~ttrogdon/ACCA.html

美国国家科学基金会将于2018年6月18日至22日在加州大学欧文分校举行为期5天的CBMS会议，主题为“多连接领域问题的解决方案”。总的来说，这次会议是基于使用复杂分析的方法来解决水波，流体流动和核物理中出现的问题。会议的主要演讲者是伦敦帝国理工学院的达伦·克劳迪教授。他是复杂分析应用方面的权威专家。Crowdy教授将举办10场讲座，并撰写专著发表在CBMS丛书中，为数学家和工程师提供重要参考。该奖项将赞助来自南加州和美国其他地区的不同群体的其他演讲者和与会者。在选定的日期之前，SIAM将于2018年6月11日至14日在加利福尼亚州阿纳海姆附近举行非线性波和相干结构会议。这一活动增加了南加州的研究活动。复杂分析中的高级主题正在从计算的角度进行深入研究。重要的例子是共形映射的数值计算，用各种方法计算紧致黎曼曲面和黎曼-希尔伯特问题的数值解。这些主题对于许多（应用）数学领域都很重要，例如可积偏微分方程、随机矩阵理论、特殊函数等。这些本身导致了各种科学和工程应用。最近，在多相物理中，所谓的拉普拉斯增长问题已经被认识到有一个潜在的可积结构，将它与Toda和Whitham可积层次联系起来。在过去的20年里，首席发言人一直是这些发展的重要组成部分。Crowdy教授开创了一个解决多连通平面域问题的建设性框架，并在应用科学领域取得了一系列新成果。克劳迪教授工作中最明显的例子之一是他将1860年著名的Schwarz-Christoffel公式扩展到多个连通域。会议网站位于：https://www.math.uci.edu/~ttrogdon/ACCA.html