Algebraic Geometry Seminar

On the Structure of Hermitian Manifolds with Semipositive Griffiths Curvature

Speaker: Yury Ustinovskiy

Location: Warren Weaver Hall 317

Date: Tuesday, April 23, 2019, 3:30 p.m.


In this talk we will discuss various uniformization problems for complex and algebraic manifolds with 'semipositive curvature'. After a short introduction, we will focus on studying Hermitian manifolds with semipositive Griffiths curvature. 

We show that after appropriate arbitrary small deformation of the initial metric, the null spaces of the Chern-Ricci two-form generate a holomorphic, integrable distribution. This distribution induces an isometric, holomorphic, almost free action of a complex Lie group on the universal cover of the manifold. Our result can be thought of as a Hermitian analogue of the Cheeger-Gromoll splitting theorem.