The Geometrical Satake Correspondence for Ramified Groups

Details The Geometrical Satake Correspondence for Ramified Groups The Geometrical Satake Correspondence for Ramified Groups

2011-07-28

arxiv.org/abs/1107.5762v1

Mathematics

Representation Theory

33 pages, with an appendix joint with Timo Richarz

Scientific paper

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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