Banach-Hecke algebras and pp-adic Galois representations

  • P. Schneider

  • J. Teitelbaum

Abstract

In this paper, we take some initial steps towards illuminating the (hypothetical) pp-adic local Langlands functoriality principle relating Galois representations of a pp-adic field LL and admissible unitary Banach space representations of G(L)G(L) when GG is a split reductive group over LL.