Mod 𝑝 points on Shimura varieties of abelian type

Kisin, Mark

doi:10.1090/jams/867

Mod points on Shimura varieties of abelian type

Author: Mark Kisin
Journal: J. Amer. Math. Soc. 30 (2017), 819-914
MSC (2010): Primary 11G18; Secondary 11G10
DOI: https://doi.org/10.1090/jams/867
Published electronically: January 11, 2017
MathSciNet review: 3630089
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Abstract: We show that the mod points on a Shimura variety of abelian type with hyperspecial level have the form predicted by the conjectures of Kottwitz and Langlands-Rapoport. Along the way we show that the isogeny class of a mod point contains the reduction of a special point.

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