Test functions for Shimura varieties: the Drinfeld case

DOI10.1215/S0012-7094-01-10612-1zbMath1014.20002OpenAlexW1987736847MaRDI QIDQ1847790

Thomas J. Haines

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-01-10612-1

zbMATH Keywords

Shimura varietiesIwahori-Hecke algebrasBernstein functions

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (14)

The combinatorics of Bernstein functions ⋮ Computing the alternating trace of Frobenius on the sheaves of nearby cycles on local models for \(\text{GL}_{4}\) and \(\text{GL}_{5}\) ⋮ Local models of Shimura varieties and a conjecture of Kottwitz ⋮ The supersingular locus in Siegel modular varieties with Iwahori level structure ⋮ On dominance and minuscule Weyl group elements. ⋮ On the \(\mu\)-admissible set in the extended affine Weyl groups of \(E_{6}\) and \(E_{7}\) ⋮ Admissibility and permissibility for minuscule cocharacters in orthogonal groups ⋮ The test function conjecture for parahoric local models ⋮ Topological flatness of orthogonal local models in the split, even case. I ⋮ The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties ⋮ Pro-\(p\)-Iwahori Hecke ring and supersingular \(\bar{\text F}_p\)-representations ⋮ Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra. ⋮ On the center of affine Hecke algebras of type \(A\). ⋮ Alcoves and \(p\)-rank of abelian varieties

Cites Work

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• Shimura varieties and twisted orbital integrals
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• Representations of Coxeter groups and Hecke algebras
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Affine Hecke Algebras and Their Graded Version
• Points on Some Shimura Varieties Over Finite Fields
• The combinatorics of Bernstein functions
• Construction of central elements in the affine Hecke algebra via nearby cycles

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