Abstract

Ramanujan Complexes of Type Ã_d

Beth Samuels
Yale University
Mathematics

I will 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 Ã_d - 1 associated with PGL_d(F) where F is a local field of positive characteristic.

Back to Automorphic Forms, Group Theory and Graph Expansion