On the geometry of lattice extensions (Max Forst, CGU)

Given a lattice L, an extension of L is a lattice M of strictly greater rank so that L is equal to the intersection of the subspace spanned by L with M. In this talk, we will discus constructions of such lattice extensions with particular geometric invariants of M, such as the determinant, covering radius and successive minima related to the analogous invariants of L. Joint work with Lenny Fukshansky.