Back to Commutative Algebra Seminar: Spring 2016
Commutative Algebra Seminar
Date: Friday, Mar 25, 2016
Time: 3:10PM - 4:00PM
Location: LCB 222
Brooke Ullery
University of Utah
Title |
Constructing ideals with high Castelnuovo-Mumford regularity |
Abstract |
The Castelnuovo-Mumford regularity of a module is a homological invariant that roughly measures complexity. Though straightforward to define, it is difficult to find ideals in polynomial rings with high Castelnuovo-Mumford regularity. I will demonstrate a method that takes as input well-understood modules and outputs ideals which cut out schemes supported on linear spaces with high Castelnuovo-Mumford regularity and other desirable homological properties. |
Commutative Algebra