DOCUMENTA MATHEMATICA, Vol. 20 (2015), 237-267

Arno Kret

Combinatorics of the Basic Stratum of Some Simple Shimura Varieties

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.

2010 Mathematics Subject Classification: Primary 11G18 ; Secondary 11F70, 11F72.

Keywords and Phrases: Shimura varieties, Arthur-Selberg Trace Formula, Langlands program.

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