Isoperimetric Inequalities and topological overlapping for quotients of Affine buildings

Abstract

We prove isoperimetric inequalities for quotients of $n$-dimensional Affine buildings. We use these inequalities to prove topological overlapping for the 2-dimensional skeletons of these buildings.

40 pages. Replacement of previous version which referred only to isoperimetric inequalities for 1-cochains (and not to topological overlapping)