Combinatorial aspects of representation theory and geometry

表示论和几何的组合方面

• 批准号: RGPIN-2016-04872
• 负责人: Thomas, Hugh
• 金额: $ 2.4万
• 依托单位: Université du Québec à Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635436
• 关键词: Combinatorial; aspects; representation; theory; geometry

Combinatorics is the study of discrete arrangements, such as the different ways of dividing n balls among k different boxes. Often, it is possible to understand such discrete arrangements much better than we could hope to understand the continuously changing phenomena that we typically encounter in real life. However, as it turns out, discrete structures can have important implications, in real life, and also in other areas of mathematics. My proposal consists of using combinatorial techniques to understand mathematical structures which arise in algebra and physics.

组合学是对离散排列的研究，例如在k个不同的盒子中划分n个球的不同方法。通常，我们可以更好地理解这种离散的安排，而不是我们希望理解现实生活中通常会遇到的不断变化的现象。然而，事实证明，离散结构在现实生活中以及数学的其他领域都可能有重要的影响。我的建议包括使用组合技术来理解代数和物理中出现的数学结构。