Cohomology of moduli spaces via a result of Chenevier and Lannes

2022/07/11 by Jonas Bergström, Carel Faber · 1 citation
Mathematics · #math.AG

paper · pdf · doi:10.46298/epiga.2023.10307

Abstract

We use a classification result of Chenevier and Lannes for algebraic automorphic representations together with a conjectural correspondence with ℓ-adic absolute Galois representations to determine the Euler characteristics (with values in the Grothendieck group of such representations) of \mathcal M_3,n and \mathcal M_3,n for n ≤ 14 and of local systems \mathbbV_λ on A₃ for |λ| ≤ 16.

Cited by

• Refinements of Katz-Sarnak theory for the number of points on curves over finite fields

Related

• The Euler characteristic of ℓ-adic local systems on A_n
• Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality
• Siegel modular forms of degree three and the cohomology of local systems
• p-adic Hodge parameters in the crystabelline representations of GL₃(ℚ_p)
• Operations on stable moduli spaces