Mathematical Sciences Research Conference: Quasiconformal Mappings and Analysis; August 18-19, 1995; Ann Arbor, Michigan

DMS-9424350 Heinonen该奖项是为了部分支持将于1995年8月在密歇根大学举行的一次会议。会议的重点是强调复杂分析与通过拟共形映射理论产生的其他广泛分析领域之间的重要联系。主要讨论的主题将是共形映射、动力系统、位势理论、TiechMuller空间和代数几何、Klein群和双曲流形、偏微分方程以及空间中的拟共形和拟正则映射。保角映射是通过保持无限小角度和方向的变换来研究平面(和高维)区域之间的映射。映射在解析函数几何理论和位势理论中起着核心作用，它将定义在任意区域上的许多函数问题归结为限制在一类高度对称区域上的相同问题。

DMS-9424350 Heinonen This award is to partially qupport a conference to be held at the University of Michigan in August 1995. The focus of the conference is to high light the important ties between complex analysis and other broad areas of analysis that have resulted through the theory of quasiconformal mappings. Key topics of discussion will be conformal mappings, dynamical systems, potential theory, Tiechmuller spaces and algebraic geometry, Kleinian groups and hyperbolic manifolds, partial differential equations, and quasiconformal and quasiregular mappings in space. Conformal mapping is the study of mappings of plane (and higher dimensional) domains by transformations which preserve infinitesimal angles and orientation. The maps play central roles in the geometric theory of analytic functions and potential theory by reducing many questions concerning functions defined on arbitrary domains to the same questions restricted to a class of highly symmetric domains.