Back to Commutative Algebra Seminar: Fall 2016
Commutative Algebra Seminar
Date: Thursday, Aug 25, 2016
Time: 3:10PM - 4:00PM
Location: LCB 215
Jimmy Seiner
University of Michigan
Title |
On lower bounds for Betti numbers |
Abstract |
We will examine new and old results concerning lower bounds for Betti numbers of modules over a polynomial ring. We will be centering around several questions inspired by Horrocks’ conjecture that the Betti numbers should be bounded below by certain binomial coefficients. Lots of examples will be presented along with exposition of what is currently known about these bounds and what questions could be studied in the future. We will also present at least one nice proof. |
Commutative Algebra