Some estimates on Higgs bundles over Riemann surfaces

题目: Some estimates on Higgs bundles over Riemann surfaces

报告人：戴嵩（天津大学）

时间： 2023年4月21日周五15：30

地点：海纳苑2幢203

摘要: Given a Riemann surface, the non-Abelian Hodge theory roughly speaking builds a correspondence between Higgs bundles and harmonic maps. In this talk, under the background of the moduli space of the Higgs bundles, we discuss some estimates of the geometric quantities from harmonic maps. We focus on two kinds of estimates: domination and boundedness. We will also show some applications of the estimates. The main results in this talk are joint with Qiongling Li.