Corpus ID: 119159098

Incorrigible Representations.

  title={Incorrigible Representations.},
  author={Michael Harris},
  journal={arXiv: Number Theory},
  • Michael Harris
  • Published 2019
  • Mathematics
  • arXiv: Number Theory
  • As a consequence of his numerical local Langlands correspondence for $GL(n)$, Henniart deduced the following theorem: If $F$ is a nonarchimedean local field and if $\pi$ is an irreducible admissible representation of $GL(n,F)$, then, after a finite sequence of cyclic base changes, the image of $\pi$ contains a vector fixed under an Iwahori subgroup. This result was indispensable in all proofs of the local Langlands correspondence. Scholze later gave a different proof, based on the analysis of… CONTINUE READING