Ramanujan Complexes of Type $\tilde{A_d}$
  We 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. 
Alex Lubotzky, Beth Samuels and Uzi Vishne