Kazhdan's Property (T)

Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960''s with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety of subjects, including discrete subgroups of Lie groups, ergodic theory, random walks, operator algebra...