L2 index and unitary representations.- Sur la classification des modules admissibles irredutibles.- Representations spheriques singulieres.- The plancherel theorem for semisimple Lie groups without compact Cartan subgroups.- Completion functors in the Q category.- Minimal K-type formula.- The role of basic cases in classification: Theorems about unitary representations applicable to SU(N,2).- On the existence of a generalized weil representation.- Solution of a conjecture of Langlands.