几何分析讨论班第一次

题目: Dominations in cyclic Higgs bundles

报告人: 戴嵩（天津大学）

时间：3月12日（周一）上午10:30-11:30 

地点：工商楼105教室

摘要: In this talk, we will introduce the higher Teichmuller theory from the viewpoint of the Higgs bundles. Given a G-Higgs bundle over a Riemann surface /Sigma, there is a corresponding harmonic map f from /tilde{/Sigma} to the symmetric space G/K. We study a subfamily in the space of the Higgs bundles, called the cyclic Higgs bundles. By introducing a maximum principle for the elliptic systems, we obtain some domination results about the pullback metric of f and the curvature.  It is a joint work with Qiongling Li, https://arxiv.org/abs/1710.10725 .

联系人：王枫老师（wfmath@zju.edu.cn）