Geodesic
Combinatorics of the basic stratum of some simple Shimura varieties
Documenta mathematica, Tome 20 (2015), pp. 237-267.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We express the cohomology of the basic Newton stratum of some unitary Shimura varieties associated to division algebras in terms of automorphic representations of the group in the Shimura datum.
Classification : 11G18, 11F70, 11F72
Keywords: Shimura varieties, arthur-Selberg trace formula, Langlands program 
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     title = {Combinatorics of the basic stratum of some simple {Shimura} varieties},
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Kret, Arno. Combinatorics of the basic stratum of some simple Shimura varieties. Documenta mathematica, Tome 20 (2015), pp. 237-267. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a34/