Vladimir Lazic

Title: Which properties of the canonical class depend only on its first Chern class?

Abstract: 
Given a projective variety X with mild singularities and a line bundle L on it, it is a natural question 
to determine which properties of L are encoded by its first Chern class. I will argue that most of the 
interesting properties of the canonical bundle of X, such as its effectivity or semiampleness, are indeed 
almost always encoded by its first Chern class. The results are a consequence of the Minimal Model Program
and Hodge theory, and are new even on surfaces. This is joint work with Thomas Peternell.