我要研究的总体大目标是研究模空间上的不变量所对应的对称性。该目标很难在短时期内完成。本项目要做的具体问题是研究量子化的代数和范畴化的代数，以及它们的表示，和它们可能在模空间上的不变量上的作用。试图在一些简单的模型中，该不变量和对称性的对应。

The main goal of this project is to study the corresponding symmetries of the invariants of some moduli spaces related to some problems in mathematical physics. It might not be easy to finish the project in a short period of time. The more concrete problems in the project is to study quantized algebras and the categorified algebras, their representations, and the related invariants of the moduli sapces. We try to establish some correspondences between the invariants and the symmetries in some simple models.