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

Yasuhiro Terakado; Chia-Fu Yu

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

Number Theory 2021-05-18 v2

Authors: Yasuhiro Terakado , Chia-Fu Yu

Abstract

We show that the systems of prime-to- $p$ Hecke eigenvalues arising from automorphic forms $\pmod p$ 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 $\pmod p$ associated to an inner form of $G$ .

Keywords

automorphic forms mod p Hecke eigensystems Hodge type algebraic modular forms inner form algebraic groups

Cite

@article{arxiv.2006.14342,
  title  = {Hecke eigensystems of automorphic forms (mod $p$) of Hodge type and algebraic modular forms},
  author = {Yasuhiro Terakado and Chia-Fu Yu},
  journal= {arXiv preprint arXiv:2006.14342},
  year   = {2021}
}

Comments

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

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

Abstract

Keywords

Cite

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