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

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- by Peter Scholze
- J. Amer. Math. Soc.
**26**(2013), 227-259 - DOI: https://doi.org/10.1090/S0894-0347-2012-00753-X
- Published electronically: August 16, 2012
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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.## References

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## Bibliographic 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.
- © Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2983011