题目 Cohomology of moduli spaces of one-dimensional sheaves on surfaces

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.

报告人：司飞

时间：2026年4月14日 上午10:00-11:00

地点：知新楼B1032

报告人简介：

司飞，现为西安交通大学助理教授。复旦大学上海数学中心取得博士学位，北京大学国际数学研究中心博士后；研究方向为代数几何中模空间相关的课题。研究成果发表在Advances in Mathematics, Trans. Amer. Math. Soc., Acta Mathematica Sinica等期刊

邀请人： 王新 教授