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The Geometric Satake Correspondence for Ramified Groups
Published 28 Jul 2011 in math.RT and math.NT | (1107.5762v3)
Abstract: We prove the geometrical Satake isomorphism for a reductive group defined over F=k((t)), and split over a tamely ramified extension. As an application, we give a description of the nearby cycles on certain Shimura varieties via the Rapoport-Zink-Pappas local models.
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