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Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves
Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves
Organizer
Speaker
Xiaoyu Su
Time
Wednesday, October 30, 2024 2:00 PM - 3:00 PM
Venue
A3-1-301
Online
Zoom 537 192 5549
(BIMSA)
Abstract
In this talk, I will introduce some basic concepts about the moduli of Higgs bundles over a curve. Then we consider the surface case and study the moduli spaces via the corresponding Hitchin maps. We try to work out Picard groups of the corresponding spectral surfaces which can be identified as generic fibers of the Hitchin maps. When generic fibers are nonempty, we can say more about the moduli spaces, for example, when the moduli is nonempty. This is a joint work with Bin Wang.