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Journal of the American Mathematical Society

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The Langlands-Kottwitz method and deformation spaces of $p$-divisible groups


Author: Peter Scholze
Journal: J. Amer. Math. Soc. 26 (2013), 227-259
MSC (2010): Primary 11G18, 14G22, 14L05; Secondary 14G35, 14B12
DOI: https://doi.org/10.1090/S0894-0347-2012-00753-X
Published electronically: August 16, 2012
MathSciNet review: 2983011
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Abstract: We extend the results of Kottwitz on points of Shimura varieties over finite fields to cases of bad reduction. The “test function” whose twisted orbital integrals appear in the final expression is defined geometrically using deformation spaces of $p$-divisible groups.


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Additional Information

Peter Scholze
Affiliation: Mathematisches Institut der Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany
MR Author ID: 890936
Email: scholze@math.uni-bonn.de

Received by editor(s): November 9, 2011
Received by editor(s) in revised form: July 23, 2012
Published electronically: August 16, 2012
Additional Notes: This paper was written while the author was a Clay Research Fellow.
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.