Dimensions of affine Deligne-Lusztig varieties in affine flag varieties.

zbMath1248.20048arXiv1006.2291MaRDI QIDQ621421

Ulrich Görtz, Xuhua He

Publication date: 2 February 2011

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2291

zbMATH Keywords

Weyl groupsconjugacy classesaffine Deligne-Lusztig varietiesaffine root systemsminimal length elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Grassmannians, Schubert varieties, flag manifolds (14M15) Linear algebraic groups over local fields and their integers (20G25)

Related Items (14)

Elements with finite Coxeter part in an affine Weyl group. ⋮ Convex polytopes for the central degeneration of the affine Grassmannian ⋮ EXTREMAL CASES OF RAPOPORT–ZINK SPACES ⋮ On some simple geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_n\) ⋮ Closure relations of Newton strata in Iwahori double cosets ⋮ Affine Deligne-Lusztig varieties associated to additive affine Weyl group elements. ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ Geometric and homological properties of affine Deligne-Lusztig varieties ⋮ Minimal length elements of Coxeter groups. ⋮ Generic Newton points and the Newton poset in Iwahori-double cosets ⋮ Foliations in deformation spaces of local \(G\)-shtukas ⋮ Class polynomials for some affine Hecke algebras. ⋮ Cordial elements and dimensions of affine Deligne–Lusztig varieties ⋮ Dimensions of Affine Deligne–Lusztig Varieties: A New Approach via Labeled Folded Alcove Walks and Root Operators

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