Back to Algebraic Geometry Seminar: Fall 2010
Algebraic Geometry Seminar
Date: Tuesday, Oct 26, 2010
Time: 3:30PM - 4:30PM
Location: LCB 323
Kevin Tucker
University of Utah
Title |
On the behavior of multiplier ideals and test ideals under finite morphisms in positive characteristic |
Abstract |
The multiplier ideal of a Q-divisor on a complex algebraic variety is a fundamental object in the study of higher dimensional birational geometry. However, the behavior of multiplier ideals in positive characteristic can be quite enigmatic. In many cases, a related invariant called the test ideal displays preferable behavior. In this talk, we will review the relationship between the multiplier ideal and test ideal in positive characteristic. Furthermore, we will describe (and contrast) transformation rules for each of these invariants under an arbitrary (i.e. not necessarily separable) finite morphism. This is joint work with Karl Schwede. |
Algebraic Geometry