Back to Algebraic Geometry Seminar: Fall 2017
Algebraic Geometry Seminar
Date: Tuesday, Aug 29, 2017
Time: 3:30PM - 4:30PM
Location: LCB 215
Lei Wu
University of Utah
Title |
Vanishing theorems for Hodge modules |
Abstract |
Kawamata-Viehweg vanishing is very useful in birational geometry. I will generalize Kawamata-Viehweg vanishing and Nadel vanishing for multiplier ideals to Saito’s Hodge modules. Meanwhile, I will construct multiplier subsheaves for Hodge modules generalizing multiplier ideals. As a application, I will prove a Fujita type freeness result for Hodge modules which generalizing a result of Kamawata for higher direct images of dualizing sheaves. If time permits, I will also explain how the multiplier subsheaves related to the V-filtration of holonomic D-modules. |
Algebraic Geometry