%0 Journal Article
%T Finite quotients of Bruhat-Tits buildings as geometric expanders
%A Shai Evra
%J Mathematics
%D 2015
%I arXiv
%X In \cite{FGLNP}, Fox, Gromov, Lafforgue, Naor and Pach, in a respond to a question of Gromov \cite{G}, constructed bounded degree geometric expanders, namely, simplical complexes having the affine overlapping property. Their explicit constructions are finite quotients of $\tilde{A_d}$-buildings, for $d\geq 2$, over local fields. In this paper, this result is extended to general high rank Bruhat-Tits buildings.
%U http://arxiv.org/abs/1503.08626v2