Morningside Center of Mathematics

Chinese Academy of Sciences

中国科学院晨兴数学中心

Morningside Center of Mathematics

Chinese Academy of Sciences

Title: | Strange duality on rational surfaces via quiver representations |

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

Time: | 2020-9-25, 09:30-10:30 |

Place: | MCM110 |

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. |

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