The Langlands-Kottwitz approach for some simple Shimura varieties

DOI10.1007/s00222-012-0419-yzbMath1309.14020arXiv1003.2451OpenAlexW2072883943MaRDI QIDQ1955769

Peter Scholze

Publication date: 18 June 2013

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2451

zbMATH Keywords

unitary grouporbital integralShimura varietyHasse-Weil zeta function

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) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items

Integral models of certain PEL Shimura varieties with \(\Gamma_1(p)\)-type level structure ⋮ ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION ⋮ Compactification of level maps of moduli spaces of Drinfeld shtukas ⋮ The Langlands-Kottwitz method and deformation spaces of 𝑝-divisible groups ⋮ On the cohomology of compact unitary group Shimura varieties at ramified split places ⋮ ON THE -ADIC COHOMOLOGY OF SOME -ADICALLY UNIFORMIZED SHIMURA VARIETIES ⋮ Local Langlands correspondence in rigid families ⋮ The local Langlands correspondence for \(\mathrm{GL}_n\) over function fields

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