Formal degree of regular supercuspidals

DOI10.4171/JEMS/1412MaRDI QIDQ6582314

David Schwein

Publication date: 2 August 2024

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

local Langlands correspondenceformal degreereductive \(p\)-adic groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Cites Work

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• Representations of reductive groups over finite fields
• Refined anisotropic \(K\)-types and supercuspidal representations
• Stability of character sums for positive-depth, supercuspidal representations
• Plancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups
• Depth-zero supercuspidal \(L\)-packets and their stability
• Schémas en groupes. III: Structure des schémas en groupes réductifs. Exposés XIX à XXVI. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3), dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• Reductive groups over a local field
• Supercuspidal characters of reductive <i>p</i>-adic groups
• Good Product Expansions for Tame Elements of p-Adic Groups
• Conjectures about 𝑝-adic groups and their noncommutative geometry

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