Back to Commutative Algebra Seminar: Spring 2018
Commutative Algebra Seminar
Date: Friday, Apr 6, 2018
Time: 2:30PM - 3:20PM
Location: LCB 222
Ozgur Esentepe
University of Toronto
Title |
Cohomology annihilators in dimension one |
Abstract |
Given a commutative Noetherian ring R, we are interested in the cohomology annihilator ideal ca(R). This ideal consists of the ring elements which annihilate all Ext-modules Ext^n(M,N) for any finitely generated R-module M,N and sufficiently large n. It is closely related to the singularities of our commutative ring. In this talk, we will give the necessary background and show that in dimension 1, under reasonable assumptions, the cohomology annilator ideal is the conductor ideal. If time permits, we will investigate the relation between the cohomology annihilator and the stable annihilator of a noncommutative crepant resolution of R. |
Commutative Algebra