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Geometrization of the Satake transform for mod p Hecke algebras

Geometrization of the Satake transform for mod p Hecke algebras

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_5ebd17e2d3244378a8d78963e80b3365

Geometrization of the Satake transform for mod p Hecke algebras

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Full title

Geometrization of the Satake transform for mod p Hecke algebras

Author / Creator

Publisher

Cambridge, UK: Cambridge University Press

Journal title

Forum of mathematics. Sigma, 2025-01, Vol.13, Article e26

Language

English

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Publication information

Publisher

Cambridge, UK: Cambridge University Press

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Scope and Contents

Contents

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 transform of an arbitrary parahoric mod p Hecke algebra...

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Full title

Geometrization of the Satake transform for mod p Hecke algebras

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Author / Creator

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Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_5ebd17e2d3244378a8d78963e80b3365

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_5ebd17e2d3244378a8d78963e80b3365

Other Identifiers

ISSN

2050-5094

E-ISSN

2050-5094

DOI

10.1017/fms.2024.130

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