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

Abstract 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 perverse sheaves, with examples, Memoirs the American Mathematical Society, Boston, 2022, Section 8.3, Conjecture 1(a)], irreducible parameters p -adic general linear groups. This result shows that these may be characterized properties simple sheaves a moduli space Langlands parameters.