Categorical symmetries in representation theory

表示论中的范畴对称性

• 批准号: DP180103150
• 负责人: A/Prof Masoud Kamgarpour
• 金额: $ 26.03万
• 依托单位: The University of Queensland
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2018
• 资助国家: 澳大利亚
• 起止时间: 2018-02-07 至 2021-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP180103150
• 关键词: Categorical; symmetries; representation; theory

This project aims to develop categorical symmetries of central objects in mathematics such as braid groups, the Hilbert scheme of points, and the Virasoro algebra. The concept of symmetry is an important organising principle in science. Representation theory is the field of mathematics concerned with studying symmetries. The problems proposed have connections to many different areas including algebra, geometry, topology, and mathematical physics. This project expects to advance pure mathematics and provide potential benefit in many related fields.

该项目旨在发展数学中中心对象的范畴对称性，如辫子群，希尔伯特点方案和Virasoro代数。对称性的概念是科学中一个重要的组织原则。表示论是研究对称性的数学领域。所提出的问题有连接到许多不同的领域，包括代数，几何，拓扑和数学物理。本项目的研究将促进纯数学的发展，并在许多相关领域提供潜在的利益。