Functoriality and the inverse Galois problem

DOI10.1112/S0010437X07003284zbMath1194.11062arXivmath/0610860OpenAlexW3105622173MaRDI QIDQ3509988

Gordan Savin, Michael J. Larsen, Chandrashekhar B. Khare

Publication date: 25 June 2008

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610860

zbMATH Keywords

automorphic formsGalois representationsLanglands functoriality

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12) Galois representations (11F80) Automorphic forms, one variable (11F12) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (16)

Fourier coefficients of automorphic forms and integrable discrete series ⋮ Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\) ⋮ Rational rigidity for \(F_4(p)\) ⋮ Computing finite Galois groups arising from automorphic forms ⋮ SIEVES AND THE MINIMAL RAMIFICATION PROBLEM ⋮ A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$ ⋮ Remarks on the inverse Galois problem over function fields ⋮ On local descent for unitary groups ⋮ Lifting of generic depth zero representations of classical groups ⋮ Automorphic Galois representations and the inverse Galois problem for certain groups of type 𝐷ₘ ⋮ On existence of generic cusp forms on semisimple algebraic groups ⋮ Local Shalika models and functoriality ⋮ Galois Representations and Galois Groups Over ℚ ⋮ On modular forms and the inverse Galois problem ⋮ Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations ⋮ Compatible systems of symplectic Galois representations and the inverse Galois problem. III: Automorphic construction of compatible systems with suitable local properties

This page was built for publication: Functoriality and the inverse Galois problem