This is a conference that will focus on new and developing links between operator K-theory and representation theory. More specifically, the meeting will consider the following themes:

• recent advances in operator K-theory and representation theory for affine Hecke algebras, with applications to the ABPS conjecture for p-adic groups, the Baum-Connes conjecture and the local Langlands correspondence,

• new constructions linking KK-theory, the Hecke algebras associated to arithmetic groups and automorphic forms,

• new approaches to tempered representation theory for real groups via operator algebras and noncommutative geometry,

• progress on the 'Mackey bijection' between the irreducible representations of real groups and the irreducible representations of associated Cartan motion groups.