The stable trace formula for Shimura varieties of abelian type
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2021
- DOI:
- 10.48550/arXiv.2110.05381
- arXiv:
- arXiv:2110.05381
- Bibcode:
- 2021arXiv211005381K
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- 11G18;
- 14G35;
- 11G15