Higgs bundles in the Hitchin section over non-compact surfaces

2023-04-24 10:40:08

时间:2023年4月24日(星期一)15:30

地点:西湖大学云谷校区E4-201


主讲人:Qiongling Li, Chern Institute of Mathematics, Nankai University

报告题目:Higgs bundles in the Hitchin section over non-compact surfaces

报告摘要: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.