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

这个国家科学基金会奖支持为期5天的CBMS会议“在多个连接域的问题的解决方案”，在加州欧文，欧文，加利福尼亚州，2018年6月18日至22日的大学。 从广义上讲，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。会议的主要发言人是伦敦帝国理工学院的达伦·克劳迪教授。 他是复分析应用方面的领先专家。Crowdy教授将发表10场讲座，并撰写一本专著，将在CBMS系列中出版，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其他演讲者和与会者。选定的日期遵循SIAM非线性波和相干结构会议，该会议将于2018年6月11日至14日在加利福尼亚州阿纳海姆附近举行。这项活动增加了南加州的研究活动。从计算的角度研究复杂分析的高级课题，并增加了深度。重要的例子是数值计算的共形映射，计算与紧凑的黎曼曲面使用各种方法和数值解的黎曼-希尔伯特问题。这些主题是重要的一个大阵列（应用）数学领域，如可积偏微分方程，随机矩阵理论，特殊功能等，这些本身导致各种科学和工程应用。最近，在多相物理学中，所谓的拉普拉斯增长问题已经被认识到具有将其与户田和惠瑟姆可积族联系起来的潜在可积结构。在过去的20年里，主要发言人在很大程度上参与了这些发展。Crowdy教授开创了一种新的建设性框架，用于解决多连通平面域中的问题，并在应用科学领域取得了一系列新成果。Crowdy教授的工作中最明显的例子之一是他从1860年将著名的Schwarz-Christoffel公式扩展到多连通域。会议网址：https://www.math.uci.edu/~ttrogdon/ACCA.html

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