Clifton Cunningham, Mishty Ray
Published 2022-06-02Version 1
In this paper we prove Vogan's conjecture on local Arthur packets, for Arthur parameters of $p$-adic general linear groups that are irreducible and trivial on the Weil group - we refer to such parameters as simple Arthur parameters. This result shows that these Arthur packets may be characterized by properties of simple perverse sheaves on a moduli space of Langlands parameters.
Vogan's Conjecture on local Arthur packets of $p$-adic $\mathrm{GL}_n$ and a combinatorial Lemma
Proof of Vogan's conjecture on Arthur packets for $\mathop{GL}_n$ over $p$-adic fields
Whittaker normalization of $p$-adic ABV-packets and Vogan's conjecture for tempered representations
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