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

数学科学研究会议：拟共形映射与分析；

• 批准号: 9424350
• 负责人: Juha Heinonen
• 金额: $ 1.5万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-06-01 至 1996-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9424350&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Conference; Quasiconformal

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.

DMS-9424350 Heinonen 该奖项将部分资助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分析和其他广泛的分析领域之间的重要联系，这些分析领域是通过准共形映射理论产生的。 讨论的主要议题将是共形映射，动力系统，潜在的理论，Tiechmuller空间和代数几何，Kleinian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。 保角映射是研究平面（和高维）域通过保持无穷小角度和方向的变换的映射。 地图发挥核心作用的几何理论的解析函数和潜在的理论减少许多问题有关的功能定义在任意域相同的问题限制在一类高度对称的域。