29 mar 2019 -- 14:00
Aula Seminario II, Dipartimento di Matematica, Bologna
The moduli space of complete collineations is roughly speaking a compactification of the space of linear maps between two fixed vector spaces, in which the boundary divisor is simple normal crossing. It has been constructed by I. Vainsencher as a sequence of blow-ups starting from the projective spaces parametrizing matrices modulo scalar along the Segre variety and its secants varieties in order of increasing dimension. This space is a spherical wonderful variety. Exploiting its spherical nature we will investigate its birational geometry. We will outline how these notions can be generalized to complete tensors and their relations with moduli spaces of vector bundles and Hilbert schemes of rational normal curves.