Langlands parameters for epipelagic representations of $\text{\rm GL}_n$

Colin J. Bushnell, Guy Henniart

Published 2013-02-18Version 1

Let $F$ be a non-Archimedean local field. An irreducible cuspidal representation of $\text{\rm GL}_n(F)$ is epipelagic if its Swan conductor equals 1. We give a full and explicit description of the Langlands parameters of such representations.