Combinatorial aspects of algebraic geometry

代数几何的组合方面

• 批准号: 355462-2008
• 负责人: Purbhoo, Kevin
• 金额: $ 1.09万
• 依托单位: University of Waterloo
• 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=503636
• 关键词: Combinatorial; aspects; algebraic; geometry

Algebraic combinatorics is the study of discrete mathematical objects using algebra. It includes methods for solving counting problems, such as how many ways are there of writing a number as a sum of smaller numbers, or how many ways are there of tiling a region with certain shapes. On the flip side of this, is the idea that discrete methods and algorithms can be useful in solving problems in algebra.

代数组合学是用代数来研究离散数学对象的学科。 它包括解决计数问题的方法，例如有多少种方法可以将一个数字写成一个较小的数字之和，或者有多少种方法可以将一个区域平铺成某种形状。 另一方面，离散方法和算法在解决代数问题时是有用的。