Eamon Quinlan-Gallego : F-modules for rings with finite F-representation type.

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Oct. 30, 2023, 3 p.m.

In

636 SEO

Abstract

The theory of F-modules, pioneered by Lyubeznik, is a powerful machinery that allows us to prove finiteness results about local cohomology of regular rings in positive characteristic. In this talk I will explain how this theory can be extended to rings with mild singularities (namely: rings with finite F-representation type). If time allows I will then show how one can recover and extend some results on local cohomology for these rings.