Geometric themes in the theory of Lie supergroups and their quantisations

这个项目的目的是发展数学上的几何超空间和代数的超变换，这是基石的数学基础的超对称性。欧洲核子研究组织的大型强子对撞机正在研究超对称性作为基础物理学的可能对称性。它的经验验证将证实新物质成分的存在，并揭示超越爱因斯坦广义相对论框架的时空深层结构。该项目的成果有望直接应用于高能物理。

This project aims to develop mathematics on the geometry of super spaces and the algebra of super transformations, which are the cornerstones of the mathematical foundation of supersymmetry. The Large Hadron Collider at the European Organization for Nuclear Research is investigating supersymmetry as a possible symmetry of fundamental physics. Its empirical verification would confirm the existence of new constituents of matter, and reveal deep structures of space-time beyond the framework of Einstein's general relativity. Results of the project are expected to be directly applicable to high energy physics.