Lei Wu : Introduction to Hodge modules and some applications to algebraic geometry

Posted by Seckin Adali , part of the Graduate Algebraic Geometry Seminar.

At

April 1, 2015, 3 p.m.

In

SEO 712

Abstract

Morihiko Saito's Hodge module is a beautiful theory generalizing hodge structure and variation of hodge structure. We will start with recalling terminologies of D-modules involved in Hodge modules. Then I will give a very brief introduction of definitions of pure Hodge modules and mixed Hodge modules. At last, I will give some applications of Hodge modules like Kodaira-Saito's vanishing and Kollar's conjecture involving the higher direct images of dualizing sheaves.