An Hochschild-Serre spectral sequence for the Rapoport-Zink uniformization
type: Item
instance of: scholarly article
title: An Hochschild-Serre spectral sequence for the Rapoport-Zink uniformization
zbMATH Open document ID: 0996.11037
DOI: 10.1016/S1631-073X(02)02340-3
author: Laurent Fargues
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2002-08-14T00:00:00Z
review text: This paper announces results about the construction of local Langlands correspondences for groups other than \(\text{GL}_n\) inside the \(\ell\)-adic cohomology of Rapoport-Zink spaces. The method consists in comparing the cohomology of these local objects with the cohomology of global objects, namely, Shimura varieties, by using spectral sequences.
reviewed by: Min Ho Lee
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 11S37
Mathematics Subject Classification ID: 11G18
zbMATH DE Number: 1754792
zbMATH Keywords: Shimura varieties
zbMATH Keywords: Rapoport-Zink spaces
zbMATH Keywords: local Langlands correspondences
zbMATH Keywords: \(\ell\)-adic cohomology
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1754792