### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

FFEBRUARY 14, 2018

**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.

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491