报告题目：Introduction to Higgs bundles over Riemann surfaces

报告人：戴嵩，天津大学

报告时间：2023年8月8、10、11日, 上午10：00-12：00

报告地点：二教2103

报告摘要：

The concept of Higgs bundles over Riemann surfaces was first introduced by Nigel Hitchin in 1987. Later the non-Abelian Hodge theory was established by relating Higgs bundles to flat bundles and harmonic maps. In recent years, the moduli space of the Higgs bundles is extensively studied due to its rich structures.

In this course, our goal is to provide a brief introduction to the theory of Higgs bundles over Riemann surfaces. In the first part, we will introduce the non-Abelian Hodge theory. In the second part, we will discuss the moduli space of Higgs bundles. We will focus on the aspect of the differential geometry of Higgs bundles. Being familiar with vector bundles and connections will help understanding the story.