Back to Commutative Algebra Seminar: Fall 2018
Commutative Algebra Seminar
Date: Friday, Oct 5, 2018
Time: 2:30PM - 3:20PM
Location: LCB 215
Rebecca R.G.
George Mason University
Title |
Characteristic-free test ideals |
Abstract |
We define the test ideal of a general closure operation cl, and give some of its properties. We highlightconnections to the trace ideal and interior operations, and the applications of these viewpoints to the study of singularities of commutative rings. In all characteristics, test ideals coming from big Cohen-Macaulay modules or algebras can take on the role of the tight closure test ideal used in characteristic $p>0$ to study singularities. |
Commutative Algebra