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The stable trace formula for Shimura varieties of abelian type

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arxiv 2110.05381 v1 pith:RHPXSDKE submitted 2021-10-11 math.NT math.AG

Mark Kisin , Sug Woo Shin , Yihang Zhu This is my paper · ORCID
classification math.NTmath.AG
keywords abelianshimurastabletracetypearthur-selbergcohomologycompactly
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We express the Frobenius-Hecke traces on the compactly supported cohomology of a Shimura variety of abelian type in terms of elliptic parts of stable Arthur-Selberg trace formulas for the endoscopic groups. This confirms predictions of Langlands and Kottwitz at primes where the level is hyperspecial.

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