Nasjonalt algebramøte 2018: Bjørn Skauli
Bjørn Skauli, UiO: Cones of Divisors and the Cone Conjecture
Abstract: The Morrison-Kawamata Cone Conjecture relates the (birational) automorphism group of a projective Calabi-Yau variety to certain cones of divisors. In this talk I will briefly explain how these cones of divisors capture information about the geometry of a projective variety, and explain some connections between the Cone Conjecture and the Minimal Model Program. I will also sketch how the Cone Conjecture can be verified on a particular example from my master thesis.