2001 Ahlfors-Bers Colloquium

Ahlfors-Bers学术讨论会将于2001年10月在康涅狄格大学斯托尔斯校区举行。该奖项主要支持研究生、初级研究人员和演讲者的参与。全体讲座计划涵盖几何函数理论，双曲几何，动力学和其他主题的广泛议程，会议计划在会议早期几天展示初级研究人员。Ahlfors-Bers学术讨论会是一系列关于几何函数理论、黎曼曲面和相关主题的会议之一，自1965年以来每三到四年举行一次。会议的名字是为了纪念拉尔斯·阿尔福斯和李普曼·伯斯，这两位复杂分析领域的巨人在20世纪塑造了会议的主题。当前几何函数理论的核心主要包括黎曼曲面（在复数上定义的二维空间，例如双变量的典型单多项式方程的所有复解的集合），Teichmueller理论（研究特定黎曼曲面可能的结构变化的一种方法），Kleinian群（双曲三维等距离最重要的离散群），有理函数的迭代（将动力系统思想与泛函理论相结合）和双曲流形。这个核心可以追溯到150年前，涵盖了当前数学研究中最活跃的一些专业。Ahlfors-Bers学术讨论会将于2001年10月在康涅狄格大学斯托尔斯校区举行。该奖项主要支持研究生、初级研究人员和演讲者的参与。全体讲座计划涵盖几何函数理论，双曲几何，动力学和其他主题的广泛议程，会议计划在会议早期几天展示初级研究人员。Ahlfors-Bers学术讨论会是一系列关于几何函数理论、黎曼曲面和相关主题的会议之一，自1965年以来每三到四年举行一次。会议的名字是为了纪念拉尔斯·阿尔福斯和李普曼·伯斯，这两位复杂分析领域的巨人在20世纪塑造了会议的主题。当前几何函数理论的核心主要包括黎曼曲面（在复数上定义的二维空间，例如双变量的典型单多项式方程的所有复解的集合），Teichmueller理论（研究特定黎曼曲面可能的结构变化的一种方法），Kleinian群（双曲三维等距离最重要的离散群），有理函数的迭代（将动力系统思想与泛函理论相结合）和双曲流形。这个核心可以追溯到150年前，涵盖了当前数学研究中最活跃的一些专业。

AbstractAward: DMS-0101539Principal Investigator: William AbikoffThe Ahlfors-Bers Colloquium is to be held in October 2001 at theUniversity of Connecticut campus at Storrs. This award primarilysupports the participation of graduate students, juniorresearchers, and speakers. Plenary lectures are planned to covera wide-ranging agenda in geometric function theory, hyperbolicgeometry, dynamics, and other topics and workshop days early inthe meeting are planned to showcase junior researchers.The Ahlfors-Bers Colloquium is one of a series of conferences ongeometric function theory, Riemann surfaces and related topicsthat have been held every three or four years since 1965. Themeetings' name honors Lars Ahlfors and Lipman Bers, two giants incomplex analysis who shaped the meeting's subjects over thetwentieth century. The current core of geometric function theoryconsists mainly of Riemann surfaces (two-dimensional spacesdefined over the complex numbers, such as the collection of allcomplex solutions to a typical single polynomial equation in twovariables), Teichmueller theory (an approach to studying thevariations of structure possible for a particular Riemannsurface), Kleinian groups (the most important discrete groups ofisometries of hyperbolic three-space), iteration of rationalfunctions (which combines dynamical systems ideas with functiontheory), and hyperbolic manifolds. This core reaches back 150years and meets or includes some of the most active specialtiesin current mathematical research.AbstractAward: DMS-0101539Principal Investigator: William AbikoffThe Ahlfors-Bers Colloquium is to be held in October 2001 at theUniversity of Connecticut campus at Storrs. This award primarilysupports the participation of graduate students, juniorresearchers, and speakers. Plenary lectures are planned to covera wide-ranging agenda in geometric function theory, hyperbolicgeometry, dynamics, and other topics and workshop days early inthe meeting are planned to showcase junior researchers.The Ahlfors-Bers Colloquium is one of a series of conferences ongeometric function theory, Riemann surfaces and related topicsthat have been held every three or four years since 1965. Themeetings' name honors Lars Ahlfors and Lipman Bers, two giants incomplex analysis who shaped the meeting's subjects over thetwentieth century. The current core of geometric function theoryconsists mainly of Riemann surfaces (two-dimensional spacesdefined over the complex numbers, such as the collection of allcomplex solutions to a typical single polynomial equation in twovariables), Teichmueller theory (an approach to studying thevariations of structure possible for a particular Riemannsurface), Kleinian groups (the most important discrete groups ofisometries of hyperbolic three-space), iteration of rationalfunctions (which combines dynamical systems ideas with functiontheory), and hyperbolic manifolds. This core reaches back 150years and meets or includes some of the most active specialtiesin current mathematical research.