中国科学院数学与系统科学研究院
数学研究所
学术报告
代数几何研讨班
Speaker: 苏晓羽 副教授 (北京邮电大学)
Title: Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves
Time&Venue: 2024年11月8日（周五） 14：00-15：00 思源楼 813
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.
Speaker: 曹晋 副教授 (北京科技大学)
Title: The motivic fundamental group of a punctured elliptic curve and algebraic cycles
Time&Venue: 2024年11月8日（周五） 15：15-16：15 思源楼 813
Abstract: In this talk, we will construct some algebraic cycles in the product of elliptic curves based on the DG resolution of the motivic fundamental group of a punctured elliptic curve. This is joint work with Tomohide Terasoma.
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