Greg Taylor : Syzygies of Curves

Posted by Gregory Taylor , part of the Graduate Algebraic Geometry Seminar.

At

Sept. 16, 2020, 11 a.m.

In

Zoom

Abstract

We take up the subject of minimal free resolutions of section rings of algebraic curves. After introducing the basic definitions and examples, we prove Green's "2g+p+1" Theorem. This talk serves as a primer for the next three talks in the seminar 1) The gonality conjecture (Jiamin Li 9/23) 2) Green's conjecture for generic curves (Greg Taylor 9/30) 3) Stability of syzygy bundles on surfaces (Shijie Shang 10/7)