Toward GIT stability of syzygies of canonical curves

Maksym Fedorchuk, March 4th, 2014

I will discuss a GIT problem concerning stability of syzygy points of canonical
curves, and explain its solution for the first syzygy point in the generic case (joint
with Deopurkar and Swinarski). I will also explain connections with Green's
conjecture and applications related to the minimal model program for the moduli
space of curves.