摘  要：

I will give a self-contained exposition of the theory of KZ equations and related topics. I want to focus on the geometry hidden behind solutions of KZ equations, e.g. local systems associated with KZ, the Gauss-Manin connections, monodromy representations of braid groups from KZ. I will also go to the algebra part such as Drinfeid-Kohno theorem which explains the relation between the monodromy representations and the one from quantum groups. I also hope to talk about the current developments.

预备知识：

representation theory of simple Lie algebra, basic knowledge of differential geometry and algebraic topology.

主讲人简介：

2009-2013 四川大学数学学院基础数学 本科

2013-2018 北京大学北京国际数学研究中心 博士

2018-2021 清华大学丘成桐数学科学中心 博士后

2021- 北京怀柔应用数学研究院 助理研究员

研究兴趣：1. 可积系统，特别是GW理论、LG理论中出现的无穷维可积系统，兴趣在于理解其中的无穷个对称性的代数结构和相关计算。2. 其他兴趣：mixed Hodge structure，quantum group and KZ equation, W-algebra and W-symmetry, augmentation representation

Note link:

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