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ON THE L-adic COHOMOLOGY OF SOME p-ADICALLY UNIFORMIZED SHIMURA VARIETIES

URN to cite this document:
urn:nbn:de:bvb:355-epub-410630
DOI to cite this document:
10.5283/epub.41063
Shen, Zu
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Date of publication of this fulltext: 21 Nov 2019 10:16


Abstract

We determine the Galois representations inside the l-adic cohomology of some unitary Shimura varieties at split places where they admit uniformization by finite products of Drinfeld upper half spaces. Our main results confirm Langlands-Kottwitz's description of the cohomology of Shimura varieties in new cases.


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