  Let G(K) be the group of K-rational points of a connected adjoint simple
algebraic group defined over a non-archimedean local field K. In this paper we
classify the unipotent representations of G(K) in terms of the geometry of the
Langlands dual group. (This was known earlier in the special case where G(K) is
an inner form of a split group.) We also determine which representations are
tempered or square integrable.
