EVENT DETAILS AND ABSTRACT

Title: Multiplier subsheaves and Hodge modules
Speaker: Lei Wu
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:

I will define the notion of multiplier subsheaves for generically defined variations of Hodge structures on smooth complex varieties (and more precisely for Hodge modules). I will present both algebraic and analytic constructions, inspired by those for multiplier ideals. Using Kodaira-Saito vanishing, I will prove a Nadel-type vanishing theorem for multiplier subsheaves, generalizing a number of vanishing theorems in algebraic geometry. If time permits, I will present an application to a Fujita-type freeness result for the lowest term in the Hodge filtration.