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Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves
Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves
组织者
演讲者
苏晓羽
时间
2024年10月30日 14:00 至 15:00
地点
A3-1-301
线上
Zoom 537 192 5549
(BIMSA)
摘要
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.