Stephane DRUEL : Singular spaces with trivial canonical class

Posted by Mihai Paun , part of the Algebraic Geometry Seminar.

At

Jan. 24, 2018, 4 p.m.

In

SEO 427

Abstract

The Beauville-Bogomolov decomposition theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale 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 works in which a singular version of the decomposition theorem is established.