2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71520We define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs. They are obtained as quotients of the buildings of type $\tilde{A}_{d-1}$ associated with $\operatorname{PGL}_d(F)$ where $F$ is a local field of positive characteristic.32 pagesRepresentation TheoryGroup Theory22E55, 20E42text