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Geometrization of the Satake transform for mod p Hecke algebras

We geometrize the mod p Satake isomorphism of Herzig and Henniart–Vignéras using Witt vector affine flag varieties for reductive groups in mixed characteristic. We deduce this as a special case of a formula, stated in terms of the geometry of generalized Mirković–Vilonen cycles, for the Satake trans...

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Autori principali: Robert Cass, Yujie Xu
Natura: Artigo
Lingua:Inglês
Pubblicazione: Cambridge University Press 2025-01-01
Serie:Forum of Mathematics, Sigma
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Accesso online:https://www.cambridge.org/core/product/identifier/S2050509424001300/type/journal_article
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