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The Geometric Satake Correspondence for Ramified Groups

Zhu, Xinwen (2015) The Geometric Satake Correspondence for Ramified Groups. Annales Scientifiques-École Normale Supérieure Paris, 48 (2). pp. 409-451. ISSN 0012-9593. https://resolver.caltech.edu/CaltechAUTHORS:20140919-164502683

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1107.5762arXivDiscussion Paper
http://smf4.emath.fr/en/Publications/AnnalesENS/4_48/html/ens_ann-sc_48_409-451.phpPublisherArticle
Additional Information:© 2015 Société Mathématique de France. The author would like to thank D. Gaitsgory, T. Haines, Y. Liu, I. Mirković, G. Pappas, M. Rapoport, T. Richarz, E. Urban, Z. Yun for useful discussions. The author also thanks the hospitality of Tsinghua University, where part of the work is done. The work of the author is supported by the NSF grant under DMS-1001280.
Funders:
Funding AgencyGrant Number
NSFDMS-1001280
Subject Keywords:Geometric Satake, affine flag variety, local models.
Issue or Number:2
Classification Code:2010 Mathematics Subject Classification. 22E57, 14M15, 14G35
Record Number:CaltechAUTHORS:20140919-164502683
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140919-164502683
Official Citation:Xinwen Zhu The geometric Satake correspondence for ramified groups Annales scientifiques de l'ENS 48, fascicule 2 (2015), 409-451
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49877
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Sep 2014 19:51
Last Modified:03 Oct 2019 07:18

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