Affine Deligne-Lusztig varieties at infinite level

DOI10.1007/s00208-020-02092-4OpenAlexW3125542637WikidataQ123125210 ScholiaQ123125210MaRDI QIDQ2049968

Alexander B. Ivanov, Charlotte Chan

Publication date: 27 August 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11204

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Varieties over finite and local fields (11G25) Linear algebraic groups over local fields and their integers (20G25)

Related Items

On some simple geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_n\), Geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_3\), Arc-descent for the perfect loop functor and \(p\)-adic Deligne-Lusztig spaces

Cites Work

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• Deligne-Lusztig constructions for division algebras and the local Langlands correspondence
• Affine Grassmannians and the geometric Satake in mixed characteristic
• Affine Kac-Moody algebras and semi-infinite flag manifolds
• Basic loci of Coxeter type in Shimura varieties
• Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
• Codimensions of Newton strata for \(\text{SL}_3(F)\) in the Iwahori case.
• On the definition of transfer factors
• Representations of reductive groups over finite fields
• Ramified automorphic induction and zero-dimensional affine Deligne-Lusztig varieties
• Deligne-Lusztig constructions for division algebras and the local Langlands correspondence. II
• Jacquet functors and unrefined minimal \(K\)-types
• Projectivity of the Witt vector affine Grassmannian
• Reductive groups over a local field
• Affine Deligne-Lusztig varieties of higher level and the local Langlands correspondence for \(\mathrm{GL}_2\)
• Maximal varieties and the local Langlands correspondence for 𝐺𝐿(𝑛)
• Unramified representations of reductive groups over finite rings
• Néron Models
• Correspondance de Langlands‐Kazhdan explicite dans le cas non ramifié
• Period Spaces for "p"-divisible Groups (AM-141)
• Affine Deligne–Lusztig varieties in affine flag varieties
• Moduli spaces of 𝑝-divisible groups
• The essentially tame local Langlands correspondence, II: totally ramified representations