Complex Analysis in Geometry, Inverse Scattering and Mathematical Physics

复数分析构成了纯数学和应用数学的伟大组织原则之一。这次会议将于2007年6月18日至22日在巴黎亨利庞加莱研究所举行，我们将探讨一个和多个复变量的函数分析，以及如何使用复变分析来解决纯数学内外的问题，例如几何、拓扑学、逆散射理论和数学物理。这次会议标志着Gennadi Khenkin的六十五岁生日，对于年轻的美国数学家来说，这次会议是一个向他们介绍复杂分析及其应用的“俄罗斯”方法的黄金机会。尽管苏联解体已经15年多了，但这种方法在美国学生中仍然不是很熟悉。全体演讲者名单包括俄罗斯复杂分析学派的一些最好的产品。这项赠款提案的目的是为参加这一重要国际会议的美国与会者提供支持。我们正在申请资金，以支付几位全体演讲者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，涵盖从表象理论到复杂动力学、代数几何中的先验方法到逆散射理论的各种主题。这次会议反映了肯金教授职业生涯的显著特点，将强调从复杂分析及其应用到反问题、数学物理、动力学、表示理论和拓扑学的技术之间的相互作用。详情请浏览会议网站(http://www.institut.math.jussieu.fr/projets/ac/evenements/2006/henkin/).。

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/).