Geometric methods in complex analysis and CR geometry

复杂分析和 CR 几何中的几何方法

• 批准号: 311747-2010
• 负责人: Shafikov, Rasul
• 金额: $ 1.75万
• 依托单位: University of Western Ontario
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=508772
• 关键词: Geometric; methods; complex; analysis; CR

My area of research is several complex variables - an important part of contemporary pure mathematics that has many applications to other areas of mathematics, such as differential equations, symplectic and algebraic geometry. My research project is built around two fundamental questions in complex analysis: classification of domains in complex spaces, and understanding the values of functions on the boundary of domains where they are defined.

我的研究领域是几个复杂的变量-当代纯数学的重要组成部分，有许多应用到其他数学领域，如微分方程，辛和代数几何。我的研究项目是围绕复分析中的两个基本问题建立的：复空间中域的分类，以及理解定义域边界上函数的值。