$l$-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

Paul Hamacher, Wansu Kim

Let $(\mathsf{G},\mathsf{X})$ be a Shimura datum of Hodge type. Let $p$ be an odd prime such that ${\mathsf{G}}_{{\mathbb{Q}}_p}$ splits after a tamely ramified extension and $p\nmid |…