Categorical symmetries in representation theory

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。

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.