| Abstract: The representation theory
of p-adic groups has been studied since the
1960s, especially for purposes of application to automorphic forms. The
theory has beem slower to develop than the parallel theory for semisimple
Lie groups, but over the past several years, an elegant and unified (and
still partly conjectural) picture, based on slight generalizations of
affine Hecke algebras, has emerged. This talk will review for a general
audience recent progress on this approach to p-adic representation theory. |