Time：10:00, Wednesday, April 30 2025
Venue: E4-233
Host：Xin Fu, ITS
Speaker：Yongpan Zou, Tokyo University
Title：Positivity of twisted direct image sheaves
Abstract：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.
