论文标题
非共同的几何形状顽强
Non-commutative Geometry Indomitable
论文作者
论文摘要
本文是对主要针对物理学家和几何图形的非共同几何形状的非常简短的简短介绍。它首先是对非共同几何学动机的简要历史描述,然后继续从对局部对称性的理解的观点来激励主题,这是由群体素理论提供的。本文以对最新发展和应用的非常快速的调查结束,例如非共同的感谢您的几何形状,粒子物理学的标准模型以及Riemann假设的研究。
This paper is a very brief and gentle introduction to non-commutative geometry geared primarily towards physicists and geometers. It starts with a brief historical description of the motivation for non-commutative geometry and then goes on to motivate the subject from the point of view of the the understanding of local symmetries affordee by the theory of groupoids. The paper ends with a very rapid survey of recent developments and applications such as non-commutative toric geometry, the standard model for particle physics and the study of the Riemann Hypothesis.