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arXiv · 2207.05130

Cohomology of moduli spaces via a result of Chenevier and Lannes

Jonas Bergström·Carel Faber
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Abstract

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 $|\lambda| \leq 16$.

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Jonas Bergström, Carel Faber. 2022-07-11. Cohomology of moduli spaces via a result of Chenevier and Lannes. https://doi.org/10.46298/epiga.2023.10307

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