Proof of Vogan's conjecture on Arthur packets: irreducible parameters of p-adic general linear groups

Clifton Cunningham; Mishty Ray

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arXiv · 2206.01027

Proof of Vogan's conjecture on Arthur packets: irreducible parameters of p-adic general linear groups

Clifton Cunningham·Mishty Ray

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Abstract

In this paper we prove Vogan's conjecture on local Arthur packets, for Arthur parameters of $p$-adic general linear groups that are irreducible as representations of $W_F \times SL_2(\mathbb{C}) \times SL_2(\mathbb{C})$ - we refer to such parameters as irreducible 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.

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Clifton Cunningham, Mishty Ray. 2022-06-02. Proof of Vogan's conjecture on Arthur packets: irreducible parameters of p-adic general linear groups. https://arxiv.org/abs/2206.01027

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