The Langlands-Kottwitz method and deformation spaces of 𝑝-divisible groups

DOI10.1090/S0894-0347-2012-00753-XzbMath1383.11082arXiv1110.0230OpenAlexW2017396907MaRDI QIDQ4922276

Peter Scholze

Publication date: 29 May 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0230

zbMATH Keywords

deformation theory\(p\)-divisible groupsLanglands programmeShimura Varieties

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Rigid analytic geometry (14G22) Formal groups, (p)-divisible groups (14L05) Local deformation theory, Artin approximation, etc. (14B12)

Related Items

On the p-adic cohomology of the Lubin-Tate tower ⋮ Reciprocity laws and Galois representations: recent breakthroughs ⋮ ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION ⋮ Local models of Shimura varieties and a conjecture of Kottwitz ⋮ On the generic part of the cohomology of compact unitary Shimura varieties ⋮ Nearby cycles of automorphic étale sheaves ⋮ Points on Shimura varieties modulo primes ⋮ An approach to the characterization of the local Langlands correspondence ⋮ The Langlands-Kottwitz approach for some simple Shimura varieties ⋮ The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields ⋮ On the cohomology of compact unitary group Shimura varieties at ramified split places ⋮ ON THE -ADIC COHOMOLOGY OF SOME -ADICALLY UNIFORMIZED SHIMURA VARIETIES ⋮ Nearby Cycles of Automorphic Étale Sheaves, II ⋮ The local Langlands correspondence for \(\mathrm{GL}_n\) over function fields

Cites Work

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