Artie Prendergast-Smith (Loughborough)
Fano manifolds of high index and the cone conjecture

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.