Geometry Seminar

Date: December 2, 2022

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Daniel Erman, U. Wisc.

Title: The geometry of weighted syzygies

Abstract: In the 1980s, Mark Green gave a new perspective on the classical correspondence between geometry and polynomial equations. He showed that the defining equations of a curve become increasingly rigid as the degree increases, and that this rigidity could be precisely measured by syzygies. I will discuss how these ideas extend to new contexts like weighted projective spaces, and how this is a part of overarching effort to extend work on syzygies to toric varieties.