%0 Journal Article %T The Geometric Satake Correspondence for Ramified Groups %A Xinwen Zhu %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1107.5762v3