Artie Prendergast-Smith : Fano manifolds of index n-1 and the cone conjecture

Posted by Artie Prendergast-Smith , part of the Algebraic Geometry Seminar.

At

April 17, 2013, 4 p.m.

In

SEO 427

Abstract

The Morrison--Kawamata cone conjecture predicts that, for a large class of "Calabi--Yau-like" varieties, certain cones of divisors are "finite up to automorphisms". I will start by explaining the conjecture and its geometric consequences. Then I will discuss how Fano manifolds of index n-1 give rise to a class of examples in which the conjecture can be verified. This is joint work with Izzet Coskun.