*主持人：罗栗 副教授

*讲座内容简介：
Tensor structure on the representation category of affine Lie algebras plays an important role in representation theory of affine Lie algebras. In a series of work, Kazhdan and Lusztig constructed rigid braided tensor categories of affine Lie algebras at non-positive rational levels, Huang and Lepowsky gave modular tensor category structures at positive integral levels. In this talk, we will discuss the construction of tensor categories of affine Lie algebras at positive rational levels. This is joint work with Creutzig and Huang.

*主讲人简介：
杨进伟，上海交通大学长聘教轨副教授，2014年博士毕业于罗格斯大学。主要研究方向为顶点算子代数、表示论、张量范畴以及相关领域，在Adv. Math., Comm. Math. Phys.. J. Alg.等重要学术期刊发表论文十余篇。