The project

Varieties with trivial canonical bundle, also known as K-trivial varieties, possess an extremely rich geometry and continue to fascinate algebraic and complex geometers in many ways. In recent years, there have been major breakthroughs both in the theory itself (e.g. a generalization of the Beauville-Bogomolov decomposition theorem to the singular setting) and in related areas (e.g. birational geometry, analytic methods, Kähler-Einstein techniques, deformation theory) that have already been applied successfully to the study of K-trivial varieties.