Splitting fields of torsors and homogeneous varieties

躯干和同质品种的分裂场

• 批准号: 298447-2007
• 负责人: Chernousov, Vladimir
• 金额: $ 1.82万
• 依托单位: University of Alberta
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=480754
• 关键词: Splitting; fields; torsors; homogeneous; varieties

The main goal of the proposal is to study geometric properites of algebraic groups. Recall that the mathematical objects that measure symmetry are called ``groups'' and their study is known as ``group theory''. Classical examples of groups are those of rotations or translations (continuous groups) and the symmetry of a square or a snowflake (discrete groups).

该提案的主要目标是研究代数群的几何性质。回想一下，测量对称性的数学对象被称为“群”，他们的研究被称为“群论”。群的经典例子是旋转或平移（连续群）和正方形或雪花对称（离散群）。