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SEMINARS
Strange duality on rational surfaces
时间  Datetime
2018-06-21 16:00 — 17:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
袁瑶
单位  Affiliation
Yau Mathematical Sciences Center, 清华大学
邀请人  Host
费佳睿
报告摘要  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, then survey shortly the proof for curves , and finally mention some progress for surfaces, especially my result for rational surfaces and my strategy as well.