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

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

2011-10-02

arxiv.org/abs/1110.0230v1

Mathematics

Algebraic Geometry

33 pages

Scientific paper

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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