Some estimates on Higgs bundles over Riemann surfaces
2023-04-21 15:30:00
2023-04-21 15:30:00
2023-04-21 15:30:00
Speaker : 3:30PM, Dai Song
Time : 2023-04-21 15:30:00
Location :
Title: Some estimates on Higgs bundles over Riemann surfaces
Speaker: Dai Song (Tianjin University)
Time: Friday, April 21, 2023 15:30
Location: 203, Building 2, Hainayuan
Abstract: 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.