时间:2025年4月30日(星期三),9:00-11:30
地点:E4-233
主持人:Xin Fu, ITS
主讲人:Yongpan Zou, Tokyo University
报告主题:Positivity of twisted direct image sheaves
报告摘要:For a projective surjective morphism f : X→Y of complex manifolds with connected fibers, let L be a line bundle on X. We are interested in its adjoint direct image F=f_∗(K_{X/Y}⊗L). In general, the positivity of the line bundle L induces positivity in the direct image sheaves. Specifically, when L is a big and nef line bundle, the vector bundle F is also big and nef. We also introduce some relative questions. This is joint work with Y. Watanabe.