Geodesic
Cohomology of moduli spaces via a result of Chenevier and Lannes
Épijournal de Géométrie Algébrique, Tome 7 (2023)

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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 $|\lambda| \leq 16$.
DOI : 10.46298/epiga.2023.10307
Classification : 11F46, 11F80, 14H10, 14K10 
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     title = {Cohomology of moduli spaces via a result of {Chenevier} and {Lannes}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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Bergström, Jonas; Faber, Carel. Cohomology of moduli spaces via a result of Chenevier and Lannes. Épijournal de Géométrie Algébrique, Tome 7 (2023). doi: 10.46298/epiga.2023.10307

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