Séminaire Géométrie et groupes discrets

Complementary series

by Prof. Jean-François Quint (CNRS & Université de Bordeaux)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane



Complementary series are families of unitary representations of certain semisimple Lie groups and of groups of automorphisms of homogeneous trees. I wil recall their definition for semisimple groups and explain how to prove their existence for groups of automorphisms of trees by a method which allows to extend this construction in order to build new representations of free groups.