lattices in hyperbolic or right-angled buildings studied by various authors. Any Kac-Moody group over a finite field is a lattice in the automorphism group of its twin building, see [@Rem:CRK:99].

Here, we focus on lattices in two-dimensional affine buildings. More specifically, we give a construction of two-dimensional affine buildings with uniform lattices. Such a construction of lattices provides either new geometric descriptions of known arithmetic lattices or interesting examples of exotic buildings with cocompact lattices.

This thesis is organised as follows. We start with a detailed discussion of the main results in the chapter. In the chapter, we introduce some basic geometric concepts which are required throughout the thesis such as simplicial complexes, metric polyhedral complexes and bounded curvature for metric spaces. Buildings and groups acting on buildings are introduced in the chapter along with all the required concepts from the theory of buildings. In Chapter \[ch:building\_examples\], we define the classical groups and the buildings with which we are working.

The chapter introduces group homology and the concept of homological stability. It also shows the connection to algebraic $K$-theory. In the chapter, we define spectral sequences in general and the spectral sequences with which we will be working. Complexes of 