Back to Commutative Algebra Seminar: Fall 2019
Commutative Algebra Seminar
Date: Friday, Oct 4, 2019
Time: 2:30PM - 3:20PM
Location: LCB 225
Kyle Maddox
University of Missouri, Columbia
Title |
F-singularities and Frobenius closure of ideals |
Abstract |
The canonical Frobenius map defined for any prime characteristic ring can both reveal and obscure an incredible amount of data about the ring. In this talk, we will first discuss a closure operation (Frobenius closure) on ideals defined in terms of the Frobenius map, then outline a similar map (a Frobenius action) on local cohomology which can be used to define a variety of singularities in prime characteristic, and finally discuss connections between the Frobenius closure of parameter ideals and the Frobenius action on local cohomology. |
Commutative Algebra