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Moduli spaces of sheaves and their Picard groups

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Title：Moduli spaces of sheaves and their Picard groupsSpeaker：林胤榜（丘成桐数学科学中心）Time：2018.12.10-12Location: Center for Mathematical Sciences, Room 813​摘要: In the first half of the talk, I will give an introduction to the moduli theory of sheaves. I will then review some known results on the Picard groups of these moduli spaces. Based on related methods, I will talk about the Pic...

Title：Moduli spaces of sheaves and their Picard groups

Speaker：林胤榜（丘成桐数学科学中心）

Time：2018.12.10-12

Location: Center for Mathematical Sciences, Room 813


摘要: In the first half of the talk, I will give an introduction to the moduli theory of sheaves. I will then review some known results on the Picard groups of these moduli spaces. Based on related methods, I will talk about the Picard group of the moduli space of higher rank sheaves over a projective surface. This last part is work in progress. Various parts are conducted jointly with Jun Li, Howard Nuer, Xiaolei Zhao and Yi Xie.