The test function conjecture for local models of Weil-restricted groups

DOI10.1112/S0010437X20007162zbMath1469.14061arXiv1805.07081OpenAlexW3104228625WikidataQ123308383 ScholiaQ123308383MaRDI QIDQ5116819

Thomas J. Haines, Timo Richarz

Publication date: 19 August 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07081

zbMATH Keywords

Shimura varietiesnearby cycleslocal models

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (14)

Erratum to “Affine Grassmannians and Geometric Satake Equivalences” ⋮ Perverse sheaves on infinite-dimensional stacks, and affine Springer theory ⋮ Nearby cycles on Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and long intertwining functor ⋮ Compatibility of semisimple local Langlands parameters with parahoric Satake parameters ⋮ Points on Shimura varieties modulo primes ⋮ Basic loci of Coxeter type with arbitrary parahoric level ⋮ Normality and Cohen-Macaulayness of parahoric local models ⋮ Smoothness of Schubert varieties in twisted affine Grassmannians ⋮ Spaces with 𝔾_{𝕞}-action, hyperbolic localization and nearby cycles ⋮ The test function conjecture for parahoric local models ⋮ THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS ⋮ Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen) ⋮ Central elements in affine modpHecke algebras via perverse -sheaves ⋮ Grassmanniennes affines tordues sur les entiers

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