Algebraic groups and Springer theory

这个项目旨在探索表象理论，表象理论是对自然界中发生的基本对称性的研究。就其本质而言，表征理论在数论、物理学、国家安全和互联网安全以及其他科学中都有应用。推广的Springer理论在李型有限群的表示中起着重要的作用。该项目的目的是在包括对称空间在内的更一般的环境中发展一种类似的理论。此外，该项目旨在解决代数群中的各种突出问题。该项目还计划探索某些零锥的几何形状与伽罗瓦表示的变形之间的联系。

This project aims to explore representation theory, which is a study of the basic symmetries that occur in nature. By its nature, representation theory has applications to number theory, physics, national security and internet security, and other sciences. Generalised Springer theory plays an important role in representations of finite groups of Lie type. The project aims to develop an analogous theory in a more general setting that includes symmetric spaces. Moreover, the project aims to address various outstanding problems in algebraic groups. The project also plans to explore the connection between the geometry of certain null-cones and deformations of Galois representations.