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arXiv · 1107.5762

The Geometric Satake Correspondence for Ramified Groups

Xinwen Zhu
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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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Xinwen Zhu. 2012-12-27. The Geometric Satake Correspondence for Ramified Groups. https://arxiv.org/abs/1107.5762

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