Angela Gibney

Bounds on nef cones

Abstract: The nef cone of a projective variety is a very important invariant. In this talk I will tell about joint work with Diane Maclagan in which we define cones that bound nef cones of certain varieties. I'll define these upper and lower bounds and I'll spend more than half of the time giving examples relating our picture to conjectures of Cox and Katz for toric hypersurfaces and Fulton for the moduli space of curves.