Complex Analysis in Geometry, Inverse Scattering and Mathematical Physics

几何、逆散射和数学物理中的复分析

• 批准号: 0653803
• 负责人: Charles Epstein
• 金额: $ 2万
• 依托单位: University of Pennsylvania
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-05-01 至 2008-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0653803&HistoricalAwards=false
• 关键词: Complex; Analysis; Geometry; Inverse; Scattering

Complex analysis forms one of the great organizing principles of both pure and applied mathematics. In this conference, to be held from June 18 to 22 of 2007 at the facilities of the Institute Henri Poincare in Paris, we will explore analysis of functions of one and several complex variables and the ways in which complex analysis is used to address problems both inside and outside of pure mathematics, for example, in geometry, topology, inverse scattering theory, and mathematical physics. The meeting marks the sixty-fifth birthday of Gennadi Khenkin, and for young American mathematicians this conference represents a golden opportunity to be introduced to the "Russian" approach to complex analysis and its applications. Despite the more than fifteen years since the collapse of Soviet Union, this approach to the subject is still not well known amongst American students. The list of plenary speakers includes some of the finest products ofthe Russian school of complex analysis.The purpose of this grant proposal is to provide support for US-based participants in this important international meeting. We are requesting funds to defray the travel expenses for several of the plenary speakers, as well as for several promising young mathematicians. The plenary talks will be aimed at nonexperts and cover topics ranging from representation theory to complex dynamics, transcendental methods in algebraic geometry to inverse scattering theory. Reflecting a remarkable feature of Professor Khenkin's career, this meeting will emphasize the interplay between techniques from complex analysis and its applications to inverse problems, mathematical physics, dynamics, representation theory, and topology. Details are available at the conference website (http://www.institut.math.jussieu.fr/projets/ac/evenements/2006/henkin/).

复分析是纯数学和应用数学的重要组织原则之一。本次会议将于2007年6月18日至22日在巴黎的亨利·庞加莱研究所举行，我们将探讨一个和多个复变函数的分析，以及复分析用于解决纯数学内外问题的方法，例如几何，拓扑学，逆散射理论和数学物理。这次会议标志着根纳季·肯金六十五岁生日，对于年轻的美国数学家来说，这次会议是一个介绍“俄罗斯”复分析方法及其应用的黄金机会。 尽管自苏联解体以来已有15年多的时间，但这种方法在美国学生中仍然不为人所知。 全体会议的发言者名单包括俄罗斯复杂分析学院的一些最优秀的产品。这项资助提案的目的是为美国参加这一重要的国际会议提供支持。我们正在申请资金，以支付全体会议几位发言人以及几位有前途的年轻数学家的旅费。全体会议将针对非专家和涵盖的主题，从代表性理论，复杂的动力学，代数几何的先验方法，逆散射理论。 反映了教授肯金的职业生涯的显着特点，本次会议将强调从复杂的分析技术及其应用之间的相互作用，反问题，数学物理，动力学，表示理论和拓扑结构。 详情可在会议网站上查阅（http：//www.institut.math.jussieu.fr/projets/ac/evenements/2006/henkin/）。