Arthur packets for \(G_2\) and perverse sheaves on cubics

DOI10.1016/j.aim.2021.108074zbMath1496.11075arXiv2005.02438OpenAlexW3211611854MaRDI QIDQ2065928

Andrew Fiori, Qing Zhang, Clifton L. R. Cunningham

Publication date: 13 January 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02438

zbMATH Keywords

Langlands correspondenceexceptional groupsperverse sheavesadmissible representationsArthur packets

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

Appearance of the Kashiwara-Saito singularity in the representation theory of \(p\)-adic \(\mathrm{GL}(16)\)

Cites Work

• On local character relations
• Intersection cohomology complexes on a reductive group
• Cuspidal local systems and graded Hecke algebras. I
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Micro-local analysis of prehomogeneous vector spaces
• The Langlands classification and irreducible characters for real reductive groups
• Whittaker models and unipotent representations of \(p\)-adic groups
• The unitary dual of \(p\)-adic \(G_2\)
• Cubic unipotent Arthur parameters and multiplicities of square integrable automorphic forms
• The conjugate classes of Chevalley groups of type \((G_2)\)
• Fourier coefficients of modular forms on \(G_2\).
• On categories of equivariant \(\mathcal{D}\)-modules
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• A.D. Alexandrov spaces with curvature bounded below
• On the Iwahori-spherical discrete series for $p$-adic Chevalley groups; formal degrees and $L$-packets
• Classification of unipotent representations of simple 𝑝-adic groups, II
• Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
• Arthur packets for 𝑝-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• Formal degrees and adjoint 𝛾-factors
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Arthur packets for \(G_2\) and perverse sheaves on cubics