Noncommutative Algebra and Algebraic Geometry

非交换代数和代数几何

• 批准号: 238363-2012
• 负责人: Ingalls, Colin
• 金额: $ 2.55万
• 依托单位: University of New Brunswick
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=594145
• 关键词: Noncommutative; Algebra; Algebraic; Geometry

We propose to study the interaction between algebraic geometry and noncommutative algebra. Algebraic geometry is an old subject where one studies geometric shapes described by polynomials and the related algebra of polynomials. We call these shapes varieties. A graph of a polynomial is a simple example of a variety. We study higher dimensional versions of these described by several polynomials in several variables.

本文主要研究代数几何与非交换代数之间的相互作用。代数几何是一门古老的学科，它研究用多项式描述的几何形状以及与之相关的多项式代数。我们称这些形状为变种。一个多项式的图形是一个简单的例子。我们研究高维版本的几个多项式在几个变量。