Concepedia

Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties

Sara Arias‐de‐Reyna, Luís Dieulefait, Sug Woo Shin, Gabor Wiese

Mathematische Annalen · 2014 · 11 citations · 15 references

Open access

Concepts

Natural SciencesMathematicsRepresentation TheoryAbstract AlgebraAutomorphic FormsGalois RepresentationsGalois TheoryGroup TheorySymplectic GeometryCompatible Systems Of Galois RepresentationsGalois ExtensionsInverse Galois ProblemLocal Galois GroupsLocal Galois Representations

References

15

Potential automorphy and change of weight

Thomas Barnet-Lamb, Toby Gee, David Geraghty et al. · Annals of Mathematics · 2014 · 244 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +10

On the Birch and Swinnerton-Dyer conjecture

Ralph Greenberg · Inventiones mathematicae · 1983 · 138 citations

Natural Sciences, Mathematics, Algebra +4

The local converse theorem for SO(2n + 1) and applications

Dihua Jiang, David Soudry · Annals of Mathematics · 2003 · 126 citations · Full text

Natural Sciences, Mathematics, Geometry +10

Automorphic Plancherel density theorem

Sug Woo Shin · Israel Journal of Mathematics · 2012 · 70 citations

Natural Sciences, Mathematics, Probability Theory +8

Principe de densité pour les groupes réductifs

FRAN ́OIS SAUVAGEOT · Compositio Mathematica · 1997 · 46 citations · Full text

Natural Sciences, Mathematics, Number Theory +2