Angela Gibney
Fulton's conjecture and upper and lower bounds for Mori cones
of algebraic varieties
Abstract: The Mori cone is a fundamental, often illusive, invariant
of an algebraic variety and is the central object of study in
higher dimensional algebraic geometry. In this talk I will
explain Fulton's conjecture, which predicts a very simple
description of the Mori cone of the moduli space of curves.
I'll show how one can naturally obtain upper and lower bounds
for the Mori cone of a large class of varieties. In the case
of the moduli space of curves, the upper bound is the cone
described by Fulton's conjecture. In particular, this gives a
new possibility for the Mori cone and a new perspective on
Fulton's conjecture.