Back to Commutative Algebra Seminar: Spring 2017
Commutative Algebra Seminar
Date: Friday, Apr 28, 2017
Time: 3:10PM - 4:00PM
Location: LCB 215
Mark Walker
University of Nebraska, Lincoln
Title |
The total rank conjecture |
Abstract |
The title refers to a conjecture on the sum of the ranks of all the free modules occurring in a free resolution of a module of finite projective dimension over a local ring. It is a weakened form of the Buchsbaum-Eisenbud-Horrocks Conjecture, which concerns a lower bound on the ranks of the individual free modules in such a resolution. I’ll sketch the proof of the total rank conjecture in certain cases and discuss possible generalizations. |
Commutative Algebra