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：袁 瑶 教授（清华数学中心）
题 目：Strange duality on rational surfaces via quiver representations
时 间：2020.09.25（星期五），09:30-10:30
地 点：晨兴中心410
摘 要：Strange duality is a conjecture formulated in 1990s, which asserts a duality between the global section spaces of determinant line bundles over two moduli spaces of semistable sheaves over a smooth projective scheme X. When X is a curve, this conjecture has been proved around 2007. When X is a surface, there is so far no general set-up for this conjecture; but under some assumption the conjecture can be extended. There is not much known for surfaces on the conjecture. In this talk, I will first introduce the formulation of the conjecture for rational surfaces, then talk about the result I get by use of the theory of quiver representation, finally I will pose some further questions and ideas for the future study.
