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On the cohomology of some simple Shimura varieties with bad reduction (1411.0245v2)
Published 2 Nov 2014 in math.NT
Abstract: We determine the Galois representations inside the $l$-adic cohomology of some quaternionic and related unitary Shimura varieties at ramified places. The main results generalize the previous works of Reimann and Kottwitz in this setting to arbitrary levels at $p$, and confirm the expected description of the cohomology due to Langlands and Kottwitz.
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