Graduate Algebra Seminar

Event Date: 

Wednesday, November 9, 2016 - 11:00am to 12:00pm

Event Location: 

  • 4607B South Hall
Speaker: Zach Blumenstein
Title: Geometry of Syzygies
Abstract: The syzygies of a graded module M over a graded ring are the relations among a minimal set of generators of M—that is, the kernel of a map of a free module F onto M. We discuss syzygies and their applications to geometric topics, including configurations of finitely many points in the plane and the interpolation problem. We also include a brief introduction to local cohomology, as part of a sketch of the solution to the interpolation problem.