Proof of Vogan's conjecture on Arthur packets: irreducible parameters of \(p\)-adic general linear groups
DOI10.1007/s00229-023-01490-7arXiv2206.01027OpenAlexW4384338977WikidataQ123027339 ScholiaQ123027339MaRDI QIDQ6120304
Mishty Ray, Clifton L. R. Cunningham
Publication date: 20 February 2024
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.01027
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Deformations of complex singularities; vanishing cycles (32S30)
Cites Work
- p-adic analog of the Kazhdan-Lusztig hypothesis
- The Langlands classification and irreducible characters for real reductive groups
- Representations of quivers of type \(A\) and the multisegment duality
- A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
- Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
- Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
- Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
- Arthur packets for 𝑝-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples
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