Images de représentations galoisiennes associées à certaines formes modulaires de Siegel de genre 2

DOI10.1142/S1793042117500610zbMath1430.11063arXiv1602.02272OpenAlexW3105374508MaRDI QIDQ5269108

Salim Tayou

Publication date: 15 June 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02272

zbMATH Keywords

symplectic groupsGalois representationsSiegel modular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Classical groups (11E57)

Related Items

Calculation of Hecke operators on isomorphism classes of even lattices of determinant 2 in dimension 23 and 25

Uses Software

• PARI/GP

Cites Work

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• Serre's modularity conjecture. I
• An explicit dimension formula for the spaces of generalized automorphic forms with respect to \(\mathrm{Sp}(2, \mathbb Z)\)
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Construction of automorphic Galois representations. II
• Irreducibility of automorphic Galois representations of \(\mathrm{GL}(n)\), \(n\) at most \(5\)
• Galois properties of points of finite order of elliptic curves
• Siegel Modular Forms and Their Applications
• Construction de représentations $p$-adiques
• On the images of the Galois representations attached to genus 2 Siegel modular forms