Jonas Bergström ; Carel Faber - Cohomology of moduli spaces via a result of Chenevier and Lannes

epiga:10307 - Épijournal de Géométrie Algébrique, October 3, 2023, Volume 7 - https://doi.org/10.46298/epiga.2023.10307
Cohomology of moduli spaces via a result of Chenevier and LannesArticle

Authors: Jonas Bergström ; Carel Faber

    We use a classification result of Chenevier and Lannes for algebraic automorphic representations together with a conjectural correspondence with $\ell$-adic absolute Galois representations to determine the Euler characteristics (with values in the Grothendieck group of such representations) of $\overline{\mathcal M}_{3,n}$ and $\mathcal M_{3,n}$ for $n \leq 14$ and of local systems $\mathbb{V}_{\lambda}$ on $\mathcal{A}_3$ for $|\lambda| \leq 16$.


    Volume: Volume 7
    Published on: October 3, 2023
    Accepted on: June 21, 2023
    Submitted on: November 15, 2022
    Keywords: Mathematics - Algebraic Geometry,14H10, 14K10

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