Bruhat-Tits buildings, representations of \(p\)-adic groups and Langlands correspondence

DOI10.1016/j.jalgebra.2023.11.013zbMATH Open1544.22022MaRDI QIDQ6568810

Anne-Marie Aubert

Publication date: 8 July 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Langlands correspondenceBruhat-Tits buildingrepresentation of \(p\)-adic groupSpringer corresponce

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)

Cites Work

• On Galois cohomology and weak approximation of connected reductive groups over fields of positive characteristic
• Intersection cohomology complexes on a reductive group
• Parameterizing conjugacy classes of maximal unramified tori via Bruhat-Tits theory
• Epipelagic \(L\)-packets and rectifying characters
• A note on \(L\)-packets
• Stable trace formula: Cuspidal tempered terms
• Green polynomials and singularities of unipotent classes
• Representations of reductive groups over finite fields
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• Refined anisotropic \(K\)-types and supercuspidal representations
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Some applications of Bruhat-Tits theory to harmonic analysis on a reductive \(p\)-adic group
• Global rigid inner forms and multiplicities of discrete automorphic representations
• Langlands classification for L-parameters
• Generalizations of the Springer correspondence and cuspidal Langlands parameters
• Construction of tame types
• Fourier transforms on invariant functions on finite reductive Lie algebras
• Jacquet functors and unrefined minimal \(K\)-types
• Tame cuspidal representations in non-defining characteristics
• An intrinsic characterization of Bruhat-Tits buildings inside analytic groups
• Endomorphism algebras and Hecke algebras for reductive \(p\)-adic groups
• Types for tame \(p\)-adic groups
• Depth-zero supercuspidal \(L\)-packets and their stability
• Reductive groups over a local field
• Construction of tame supercuspidal representations
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• The stable Bernstein center and test functions for Shimura varieties
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Supercuspidal representations: An exhaustion theorem
• Good Product Expansions for Tame Elements of p-Adic Groups
• The essentially tame local Langlands correspondence, III: the general case
• Representation Theory and Complex Geometry
• Néron Models
• Smooth representations of reductive p -ADIC groups: structure theory via types
• Critère d'injectivité pour l'application de Jacquet
• Centre de Bernstein dual pour les groupes classiques
• On L-packets and depth for SL2(K) and its inner form
• Conjectures about 𝑝-adic groups and their noncommutative geometry
• The essentially tame local Langlands correspondence, I
• Tamely ramified supercuspidal representations
• Local Langlands Correspondence for Regular Supercuspidal Representations of GL(n)
• On the construction of tame supercuspidal representations
• Bruhat–Tits Theory
• Representations of Finite Groups of Lie Type
• Regular supercuspidal representations
• The principal series of p‐adic groups with disconnected center
• Supercuspidal L-packets via isocrystals
• The essentially tame local Langlands correspondence, II: totally ramified representations
• Hecke algebras for \(p\)-adic reductive groups and local Langlands correspondences for Bernstein blocks
• A twisted Yu construction, Harish-Chandra characters, and endoscopy
• Bruhat-Tits theory from Berkovich's point of view. Analytic filtrations
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