26 apr 2017 -- 15:00
Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma
Abstract.
The Beauville-Bogomolov decomposition theorem asserts that any compact Kahler manifold with numerically trivial canonical bundle admits an etale cover that decomposes into a product of a torus, an irreducible, simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With the development of the minimal model program, it became clear that singularities arise as an inevitable part of higher dimensional life. I will present recent work in which we partly extend the Beauville-Bogomolov decomposition theorem to the singular setting.