Volume of varieties, fibrations, and foliations

Quand : 28 mai 2026 à 10:30

Où : IHP, 11 rue Pierre et Marie Curie, Paris 5e

Organisé par : Institut Henri Poincaré

The volume is a fundamental birational invariant of a smooth projective variety X. It measures the asymptotic growth of pluricanonical forms and, when X is minimal, it coincides with the top self-intersection number of K_X​. A striking theorem of Hacon–McKernan–Xu shows that the volume of a log canonical variety of general type is uniformly bounded away from zero in fixed dimension. In this talk I