On Galois representations arising from towers of coverings of P1 ... .

Y. Ihara

Displaying similar documents to “On Galois representations arising from towers of coverings of P1 ... .”

Explicit deformation of Galois representations.

Nigel Boston (1991)

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On the surjectivity of Galois representations attached to elliptic curves over number fields

Álvaro Lozano-Robledo (2005)

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On the equation a³ + b³ⁿ = c²

Michael A. Bennett, Imin Chen, Sander R. Dahmen, Soroosh Yazdani (2014)

Acta Arithmetica

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We study coprime integer solutions to the equation a³ + b³ⁿ = c² using Galois representations and modular forms. This case represents perhaps the last natural family of generalized Fermat equations descended from spherical cases which is amenable to resolution using the so-called modular method. Our techniques involve an elaborate combination of ingredients, ranging from ℚ-curves and a delicate multi-Frey approach, to appeal to intricate image of inertia arguments.

Some p-adic Galois Representations for Curves in Characteristic p.

Robert C. Valentini (1986)

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Galois representations of dihedral type over ℚₚ

Peder Frederiksen, Ian Kiming (2004)

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Galois cohomology and Galois representations.

Shankar Sen (1993)

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Deformations of Galois representations arising from degenerate extensions

Adam Logan (2002)

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New forms and Galois representations of octahedral type. (Formes primitives et représentations galoisiennes de type octaédral.)

Cassou-Noguès, Philippe, Jehanne, Arnaud (1996)

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Galois representations on profinite braid groups on curves.

Makoto Matsumoto (1996)

Journal für die reine und angewandte Mathematik

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Galois representations of octahedral type and 2-coverings of elliptic curves.

Pilar Bayer, Gerhard Frey (1991)

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Multiplicities of mod p Galois representations.

Chandrashekhar Khare (1998)

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An infinite ferm in the universal deformation space of Galois representations.

B. Mazur (1997)

Collectanea Mathematica

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I hope this article will be helpful to people who might want a quick overview of how modular representations fit into the theory of deformations of Galois representations. There is also a more specific aim: to sketch a construction of a point-set topological'' configuration (the image of an infinite fern'') which emerges from consideration of modular representations in the universal deformation space of all Galois representations. This is a configuration hinted previously, but now, thanks...

On Galois representations associated to Hilbert modular forms.

Richard Taylor (1989)

Inventiones mathematicae

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