Strange duality on rational surfaces via quiver representations

Prof. Yao Yuan
2020-09-25 09:30-10:30

  Title: Strange duality on rational surfaces via quiver representations

Speaker: Prof. Yao Yuan (Yau Mathematical Sciences Center, Tsinghua University)

Time: 09:30-10:30Sep 25, 2020 (Beijing Time)

Abstract: 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.