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.