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Higgs bundles in the Hitchin section over non-compact surfaces

2023-04-24 10:44:25
报告人 时间 15:30-17:00
地点 E4-201 2023
月日 04-24

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.