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arXiv · 2110.05381

The stable trace formula for Shimura varieties of abelian type

Mark Kisin·Sug Woo Shin·Yihang Zhu
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Abstract

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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Mark Kisin, Sug Woo Shin, Yihang Zhu. 2021-10-11. The stable trace formula for Shimura varieties of abelian type. https://arxiv.org/abs/2110.05381

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