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Cohomology of moduli spaces via a result of Chenevier and Lannes.

Authors :
Bergström, Jonas
Faber, Carel
Source :
Épijournal de Géométrie Algébrique (Epiga); 2023, Vol. 7, p1-14, 14p
Publication Year :
2023

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 M<subscript>3,n</subscript> and M<subscript>3,n</subscript> for n ≤ 14 and of local systems 핍λ on A<subscript>3</subscript> for |λ| ≤ 16. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24916765
Volume :
7
Database :
Complementary Index
Journal :
Épijournal de Géométrie Algébrique (Epiga)
Publication Type :
Academic Journal
Accession number :
175685585
Full Text :
https://doi.org/10.46298/epiga.2023.10307