Hecke eigensystems of automorphic forms (mod $p$) of Hodge type and algebraic modular forms

Abstract

We show that the systems of prime-to-$p$ Hecke eigenvalues arising from automorphic forms$(\mathrm{mod}p)$ for a good prime $p$ associated to an algebraic group $G/\mathbb{Q}$ of Hodge type are the same as those arising from algebraic modular forms$(\mathrm{mod}p)$ associated to an inner form of $G$.

arXiv commentShortened revised version, 27 pages, to appear in Math. Ann. Comments are welcome

References in corpus (6)

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• Rapoport-Zink spaces for spinor groups
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