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Cohomology of moduli spaces of one-dimensional sheaves on surfaces

发布日期:2026-03-30点击数:

报告人:司飞 助理教授(西安交通大学)

时间:2026年4月09日 14:30-

地点:理科楼LA104


摘要:In this talk, we introduce a method to study the cohomology of the moduli space of one-dimensional sheaves on smooth projective surfaces. It mainly relies on the geometry of relative Abelian–Jacobi maps and the full support theorem of Maulik–Yun and Migliorini–Shende. Our result has applications to BPS numbers in enumerative geometry, as well as to the proof of an asymptotic version of the "P=C" conjecture by Kononov–Pi–Shen and Kononov–Lim–Moreira–Pi for the projective plane, which is a compact analogue of the famous "P=W" conjecture on the moduli space of Higgs bundles. The talk is based on a series of joint works with Feinuo Zhang, and also with Weite Pi, Junliang Shen, and Feinuo Zhang.


邀请人:数学研究中心


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。