Algebraic geometry

代数几何

• 批准号: CRC-2018-00065
• 负责人: Cautis, Sabin
• 金额: $ 7.29万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2019
• 资助国家: 加拿大
• 起止时间: 2019-01-01 至 2020-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=692624
• 关键词: Algebraic; geometry

We lay out a series of related projects which tries to address fundamental questions ranging from low dimensional topology (the structure of knots and space around us) to mathematical physics (which is part of a much larger effort to understand the local and global structure of the universe). The new tools we develop for this purpose are inspired by and combine modern concepts and techniques in algebraic geometry and representation theory (two stalwarts of modern mathematics).

我们布置了一系列相关的项目，试图解决从低维拓扑（我们周围的结和空间的结构）到数学物理（这是理解宇宙局部和全局结构的更大努力的一部分）的基本问题。我们为此目的开发的新工具受到代数几何和表示理论（现代数学的两个中坚力量）中的现代概念和技术的启发并结合在一起。