Time: 15:30, Monday, April 24, 2023
Venue: E4-201, Yungu Campus, Westlake University
Speaker:Qiongling Li, Chern Institute of Mathematics, Nankai University
Title:Higgs bundles in the Hitchin section over non-compact surfaces
Abstract:For a Higgs bundle over a compact Riemann surface, the Hitchin-Kobayashi correspondence says the existence of a harmonic metric is equivalent to the polystability of the Higgs bundle. In this talk, we discuss some recent progress on the existence and uniqueness of harmonic metrics on Higgs bundles in the Hitchin section over general non-compact Riemann surfaces. This is joint work with Takuro Mochizuki.