The Western Algebraic Geometry Seminar


Speaker: Gavril Farkas
Title: The Mori cones of moduli spaces of pointed curves
We discuss a conjectural description of the Mori cone of the moduli
space of n-pointed stable curves of genus g and how this is related to
a conjecture of Fulton's on the cone of effective divisors on the
moduli space of n-pointed rational curves. We then present an
entirely combinatorial approach to Fulton's conjecture and explain how
this works in the case of low dimensional moduli spaces.