中科院数学与系统科学研究院
数学研究所
代数几何研讨班
报告人：刘敏 副教授（青岛大学）
题 目：Some properties of the moduli spaces of vector bundles over an algebraic curve
时 间：2021.4.26（星期一），15:10-16:40
地 点：腾讯会议 434 627 441
摘 要：In this talk we introduce some properties of the moduli spaces of vector bundles over an algebraic curve, which are essential to the study of rational curves on the moduli spaces of stable bundles.
------------------------------------------------------------------------------------------------------------------------
报告人：刘敏 副教授（青岛大学）
题 目：Rational curves on the moduli spaces of stable bundles
时 间：2021.5.10（星期一），13:30-15:00
地 点：腾讯会议 672 940 562
摘 要：Let C be a smooth projective curve of genus g\geq 2 over an algebraically closed field of characteristic zero, and M=SU_c(r,L) be the moduli space of stable vector bundles of rank r\geq 2 and with the fixed determinant L of degree d. Any rational curve \varphi: P^1\rightarrow M on M is defined by a vector bundle E on the ruled surface C\times P^1, we can determine the rational curves of fixed degree on M by the split type of E. In this talk, we give an account of minimal rational curves, small rational curves on M.
附件：