Cordial elements and dimensions of affine Deligne–Lusztig varieties

DOI10.1017/fmp.2021.10zbMath1483.11129arXiv2001.03325OpenAlexW3197720834MaRDI QIDQ3380316

Xuhua He

Publication date: 28 September 2021

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03325

zbMATH Keywords

reductive groupDeligne-Lusztig varieties\(\sigma\)-conjugacy class

Mathematics Subject Classification ID

Varieties over finite and local fields (11G25) Linear algebraic groups over local fields and their integers (20G25)

Related Items (3)

Affine Deligne-Lusztig varieties and folded galleries governed by chimneys ⋮ Closure relations of Newton strata in Iwahori double cosets ⋮ Affine Deligne-Lusztig varieties and quantum Bruhat graph

Cites Work

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• Stratifications in the reduction of Shimura varieties
• Affine Grassmannians and the geometric Satake in mixed characteristic
• Dimensions of affine Deligne-Lusztig varieties in affine flag varieties.
• Representations of reductive groups over finite fields
• A subalgebra of 0-Hecke algebra.
• Elements with finite Coxeter part in an affine Weyl group.
• Projectivity of the Witt vector affine Grassmannian
• Geometric and homological properties of affine Deligne-Lusztig varieties
• Truncations of level 1 of elements in the loop group of a reductive group.
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Reductive groups over a local field
• Dimension formula for the affine Deligne-Lusztig variety \(X(\mu, b)\)
• Minimal length elements of extended affine Weyl groups
• On a conjecture of Kottwitz and Rapoport
• $P$-alcoves and nonemptiness of affine Deligne-Lusztig varieties
• Affine Deligne–Lusztig varieties in affine flag varieties
• Generic Newton points and the Newton poset in Iwahori-double cosets
• The Newton stratification on deformations of local G-shtukas
• Dimensions of Affine Deligne–Lusztig Varieties: A New Approach via Labeled Folded Alcove Walks and Root Operators
• Hecke algebras and $p$-adic groups

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