报 告 人：程家豪 博士

工作单位：北京大学

报告时间：11月16日上午10：20

报告地点： 数学与统计学院南阶梯教室

报告摘要：

In this talk, we will study a dg geometric analogue of Chen, Stienon and Xu's work on Hopf algebras arising from Lie pairs. The space of vector fields with shifted degree -1 of a dg manifold is a Lie algebra object, the Atiyah class being its bracket. We describe the universal enveloping algebra object of this Lie algebra in the homotopy category of dg modules, and prove that it is a Hopf algebra object.  As an application, we investigate Fedosov dg Lie algebroids associated with Lie pairs and, in particular, we recover a result of Chen, Stienon and Xu on Hopf algebras associated with Lie pairs. This is a joint work with Zhuo Chen and Dadi Ni.

报告人简介：

程家豪，北京大学博士，研究领域包括代数几何和数学物理。