Algebraic Geometry Seminar
Wednesday March 29th, 2023
Time: 4:00 PM - 5:30 PM
Title: The birational geometry of the moduli of curves: geometric and tropical aspects.
Speaker: Gavril Farkas, Humboldt University, Berlin
Location: SCGP 102
Abstract:
It is one of the landmark results in algebraic geometry of the 20th century that the moduli space M_g of curves of genus g is a variety of general type when g>23. I will discuss joint work with Jensen and Payne proving that both moduli spaces M_22 and M_23 are of general type, highlighting both the geometrical and the novel tropical aspects related to this circle of ideas. Time permitting, I will also discuss how novel ideas from non-abelian Brill-Noether theory can be used to prove that the moduli space of genus 16 is uniruled.