Corpus ID: 119159098

# Incorrigible Representations.

@article{Harris2019IncorrigibleR,
title={Incorrigible Representations.},
author={Michael Harris},
journal={arXiv: Number Theory},
year={2019}
}
• 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

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