Equidistribution of rational subspaces and their shapes

Menny Aka, Andrea Musso, Andreas Wieser

To any $k$-dimensional subspace of ${\mathbb{Q}}^n$ one can naturally associate a point in the Grassmannian ${\mathrm{Gr}}_{n,k}(\mathbb{R})$ and two shapes of lattices of rank $k$ and $n-k…