Applications of the Geometric Function Theory to Mathematical Physics

几何函数理论在数学物理中的应用

• 批准号: RGPIN-2014-06586
• 负责人: Binder, Ilia
• 金额: $ 1.68万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=567908
• 关键词: Applications; Geometric; Function; Theory; Mathematical

Geometric Function Theory is a classical area of Analysis, initiated by Riemann's proof of his famous mapping theorem. One of the two first Fields medals was awarded in 1936 to L. Ahlfors for his research in the field. In 1985, one of the main conjectures in the Theory, the famous Bieberbach coefficients conjecture, which remained open since 1916, was successfully verified by L. de Branges. One of the main technical tools used in the proof was the so-called

几何函数论是解析学的一个经典领域，起源于黎曼对他著名的映射定理的证明。最早的两枚菲尔兹奖章之一于1936年授予L. Ahlfors，以表彰他在该领域的研究。1985年，该理论的主要猜想之一，著名的比伯巴赫系数猜想（Bieberbach coefficients conjecture）被L. de Branges成功地证实，该猜想自1916年以来一直开放。证明中使用的主要技术工具之一是所谓的