Seminar Event Detail


Algebraic Geometry

Date:  Wednesday, January 11, 2017
Location:  4096 East Hall (4:10 PM to 5:30 PM)

Title:  Vanishing theorems, log-D modules and Multi-indexed Deligne extensions

Abstract:   Kodaira vanishing is the most famous vanishing theorem in algebraic geometry. After reviewing Kodaira-Nakano vanishing, I will introduce its generalization to mixed Hodge modules due to Saito and a recent Kawamata-Viehweg type vanishing for pure Hodge modules. In order to understand Q-divisors with normal crossing support, I will introduce log-D modules and construct a special kind of log-D modules, Multi-indexed Deligne extensions from C-local systems. After this, I will deduce a Kawamata-Viehweg type vanishing for log-variations of Hodge structures (log-VHS). If time allowed, I will also mention how to construct multiplier subsheaves for Hodge modules based on log-VHS which generalizes multiplier ideal sheaves.

Files:


Speaker:  Lei Wu
Institution:  Northwestern University

Event Organizer:     

 

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