Roger J. Plymen (University of Manchester)
roger@maths.man.ac.uk Let F be a nonarchimedean local field, G = GL(n) = GL(n,F). The smooth dual Irr(G) of G can be given, via the local Langlands correspondence, the structure of complex algebraic variety. This structure is well-adapted to
(i) the local L-factors
(ii) the periodic cyclic homology (after Alain Connes) of the Hecke algebra of G
(iii) the Plancherel measure on the unitary dual of G
(iv) base change E/F and K-theory.