Appearance of the Kashiwara–Saito singularity
in the representation theory of p-adic GL(16)

Cunningham, Clifton; Fiori, Andrew; Kitt, Nicole

doi:10.2140/pjm.2022.321.239

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2023

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“…We remark that even for general linear groups, non-Arthur type ABV-packets hold some surprises. Specifically, [CFK23] presents a non-Arthur type Langlands parameter φ KS for GL 16 such that Π ABV φKS (GL 16 ) consists of two representations. Even more remarkably, the coronal representation π ψ in Π ABV φKS (GL 16 ) is of Arthur type.…”

Section: Introductionmentioning

confidence: 99%

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Proof of Vogan's conjecture on Arthur packets for $\mathop{GL}_n$ over $p$-adic fields

Cunningham¹,

Mishty²

2023

Preprint

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Section: Introductionmentioning

confidence: 99%

“…Relation to other work. This paper is part of the Voganish Project; for related results, we refer to [CFM + 22], [Mra17], [CFK23], [CFZ22], [CFZ21], [CR22].…”

Section: Introductionmentioning

confidence: 99%

Proof of Vogan's conjecture on Arthur packets for $\mathop{GL}_n$ over $p$-adic fields

Cunningham¹,

Mishty²

2023

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

Cunningham

Mishty

2023

manuscripta math.

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In this paper we prove Vogan’s conjecture on local Arthur packets, as recalled in Cunningham et al. [Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples, Memoirs of the American Mathematical Society, Boston, 2022, Section 8.3, Conjecture 1(a)], for irreducible Arthur parameters of p-adic general linear groups. 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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Appearance of the Kashiwara–Saito singularity in the representation theory of p-adic GL(16)

Cited by 2 publications

References 17 publications

Proof of Vogan's conjecture on Arthur packets for $\mathop{GL}_n$ over $p$-adic fields

Proof of Vogan's conjecture on Arthur packets for $\mathop{GL}_n$ over $p$-adic fields

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

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