Back to Commutative Algebra Seminar: Spring 2019
Commutative Algebra Seminar
Date: Friday, Feb 22, 2019
Time: 2:30PM - 3:20PM
Location: LCB 222
Adam Boocher
University of San Diego
Title |
Using Boij-Soederberg theory to bound Betti numbers |
Abstract |
Suppose that I is a homogeneous ideal of height c in a polynomial ring. Such ideals have at least c minimal generators, and that is about all we can say in this generality. If however we impose bounds on the regularity of the ideal then there are surprising constraints on the number of generators (and other Betti numbers). In this talk I’ll describe how Boij-Soederberg Theory gives rise to statements like this and how we use these methods to prove strong lower bounds for the total Betti number of modules with low regularity. |
Commutative Algebra