Test Ideals of Commutative Rings of All Characteristics

Speaker: Rebecca Rebhuhn-Glanz, Syracuse University

Title: Test Ideals of Commutative Rings of All Characteristics

Abstract: The tight closure test ideal was developed in order to study the singularities of commutative rings (and the corresponding geometric objects), and has led to many results over rings of characteristic p>0. In this talk, we define the test ideal of an arbitrary closure operation on ideals of a commutative ring of any characteristic, and discuss connections between the test ideal and the singularities of the ring.

Time: Wednesday, February 14, 2018, 3:25 - 4:25

Place: Exploratory Hall, room 4106

Refreshments will be served at 3:05 p.m.