魏传豪，西湖大学

The non-abelian Hodge theory, briefly can be viewed as building a correspondence between certain topological objects, analytic objects, and algebraic objects. In this talk, I will show that Kodaira-type vanishing can be viewed as the algebraic side of the Artin Vanishing. Such vanishing generalizes Saito vanishing and Kawamata-Viehweg vanishing. I will also introduce an effective global generalization theorem on semistable vector bundles with vanishing chern classes, as an application.