Boucksom-Zariski chambers on irreducible holomorphic symplectic manifolds

In this talk I will provide for the big cone of a projective irreducible holomorphic symplectic manifold a decomposition into chambers,

called Boucksom-Zariski chambers, in each of which the support of the negative part of the divisorial Zariski decomposition is constant.

I will show how the obtained decomposition allows to describe the volume function and, time permitting, I will give a result describing when

the Boucksom-Zariski chambers are « numerically determined ».