Flag varieties and configuration spaces in algebra

代数中的标记簇和配置空间

• 批准号: DP110103451
• 负责人: Prof Gustav Lehrer
• 金额: $ 25.33万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2011
• 资助国家: 澳大利亚
• 起止时间: 2011-07-31 至 2013-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP110103451
• 关键词: Flag; varieties; configuration; spaces; algebra

School students learn that curves may be described by means of equations, which may therefore be solved geometrically; this is an example of the interaction of algebra and geometry. In this project geometric ideas such as simplicial geometry and cohomological representation theory will be developed, which address deep questions in modern algebra.

学生们学习到曲线可以用方程来描述，因此可以用几何方法求解；这是代数和几何相互作用的一个例子。在本计画中，将发展简单几何和上同调表示理论等几何概念，以解决现代代数中的深层问题。