Irreducible components of minuscule affine Deligne-Lusztig varieties

DOI10.2140/ant.2018.12.1611zbMath1412.14017arXiv1702.08287OpenAlexW3098275413MaRDI QIDQ1621973

Eva Viehmann, Paul Hamacher

Publication date: 12 November 2018

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08287

zbMATH Keywords

affine Deligne-Lusztig varietiesaffine GrassmannianRapoport-Zink spaces

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Linear algebraic groups over local fields and their integers (20G25)

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Cites Work

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• Sweep maps: a continuous family of sorting algorithms
• Affine Grassmannians and the geometric Satake in mixed characteristic
• The supersingular locus of the Shimura variety of \(\text{GU}(1,n-1)\). II
• Foliations in deformation spaces of local \(G\)-shtukas
• The geometry of Newton strata in the reduction modulo \(p\) of Shimura varieties of PEL type
• Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
• The almost product structure of Newton strata in the deformation space of a Barsotti-Tate group with crystalline Tate tensors
• Compactified Jacobians and \(q,t\)-Catalan numbers. I.
• Central leaves in loop groups
• \(P\)-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras.
• Projectivity of the Witt vector affine Grassmannian
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• The global structure of moduli spaces of polarized \(p\)-divisible groups
• Minimal length elements of extended affine Weyl groups
• Affine Deligne-Lusztig varieties and the action of 𝐽
• Dimensions of some affine Deligne–Lusztig varieties
• Connected components of affine Deligne–Lusztig varieties in mixed characteristic
• The Dimension of Affine Deligne–Lusztig Varieties in the Affine Grassmannian
• Affine Grassmannians and Geometric Satake Equivalences
• Purity of the stratification by Newton polygons
• Newton strata in the loop group of a reductive group
• The Newton stratification on deformations of local G-shtukas
• Moduli spaces of 𝑝-divisible groups
• Sweeping up zeta

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