The Geometric Satake Correspondence for Ramified Groups
Representation Theory
2013-01-01 v3 Number Theory
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.
Cite
@article{arxiv.1107.5762,
title = {The Geometric Satake Correspondence for Ramified Groups},
author = {Xinwen Zhu},
journal= {arXiv preprint arXiv:1107.5762},
year = {2013}
}
Comments
35 pages, with an appendix joint with Timo Richarz. New materials added in Section 6. arXiv admin note: text overlap with arXiv:1012.5979 by other authors