Greg Taylor : Kodaira vanishing in positive characteristic

Posted by Gregory Taylor , part of the Graduate Algebraic Geometry Seminar.

At

Sept. 11, 2019, 5 p.m.

In

712 SEO

Abstract

Kodaira vanishing and its generalizations are powerful tools in birational geometry. Unfortunately, they fail in positive characteristic. In this talk, we construct counterexamples to the Kodaira vanishing theorem and, if time permits, discuss strategies for replacing vanishing theorems with Frobenius methods.