Event time:
Thursday, October 2, 2014 - 11:00am to 12:00pm
Location:
431 DL
Speaker:
Anand Deopurkar
Speaker affiliation:
Columbia University
Event description:
The Deligne-Mumford compactification of the moduli space of curves can be constructed as a GIT quotient of the Hilbert scheme of pluri-canonically embedded curves. Varying the parameters in this GIT problem yields different birational models of the moduli space. Following a program laid out by Sean Keel, we explore the models that can be constructed using the syzygies of canonical curves. As a first step, we prove a generic semistability result for the first syzygies in odd genus. (Joint work with Fedorchuk and Swinarski.)