Deformation rings for some mod $3$ Galois representations of the absolute Galois group of $Q

Deformation rings for some mod

3

Galois representations of the absolute Galois group of

Q_{3}

Böckle, Gebhard

Représentations

p

-adiques de groupes

p

-adiques II : Représentations de

{𝐆𝐋}_{2} (𝐐_{p})

(φ, Γ)

-modules, Astérisque, no. 330 (2010), pp. 529-542

MR Zbl | 2 citations dans Numdam

@incollection{AST_2010__330__529_0,
     author = {B\"ockle, Gebhard},
     title = {Deformation rings for some mod $3$ {Galois} representations of the absolute {Galois} group of $Q_3$},
     booktitle = {Repr\'esentations $p$-adiques de groupes $p$-adiques II : Repr\'esentations de $\mathbf{GL}_2 (\mathbf{Q}_p)$ et $(\varphi, \Gamma)$-modules},
     editor = {Berger, Laurent and Breuil, Christophe and Colmez, Pierre},
     series = {Ast\'erisque},
     pages = {529--542},
     year = {2010},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {330},
     mrnumber = {2642411},
     zbl = {1223.11141},
     language = {en},
     url = {https://www.numdam.org/item/AST_2010__330__529_0/}
}

TY  - CHAP
AU  - Böckle, Gebhard
TI  - Deformation rings for some mod $3$ Galois representations of the absolute Galois group of $Q_3$
BT  - Représentations $p$-adiques de groupes $p$-adiques II : Représentations de $\mathbf{GL}_2 (\mathbf{Q}_p)$ et $(\varphi, \Gamma)$-modules
AU  - Collectif
ED  - Berger, Laurent
ED  - Breuil, Christophe
ED  - Colmez, Pierre
T3  - Astérisque
PY  - 2010
SP  - 529
EP  - 542
IS  - 330
PB  - Société mathématique de France
UR  - https://www.numdam.org/item/AST_2010__330__529_0/
LA  - en
ID  - AST_2010__330__529_0
ER  -

%0 Book Section
%A Böckle, Gebhard
%T Deformation rings for some mod $3$ Galois representations of the absolute Galois group of $Q_3$
%B Représentations $p$-adiques de groupes $p$-adiques II : Représentations de $\mathbf{GL}_2 (\mathbf{Q}_p)$ et $(\varphi, \Gamma)$-modules
%A Collectif
%E Berger, Laurent
%E Breuil, Christophe
%E Colmez, Pierre
%S Astérisque
%D 2010
%P 529-542
%N 330
%I Société mathématique de France
%U https://www.numdam.org/item/AST_2010__330__529_0/
%G en
%F AST_2010__330__529_0

Böckle, Gebhard. Deformation rings for some mod $3$ Galois representations of the absolute Galois group of $Q_3$, dans Représentations $p$-adiques de groupes $p$-adiques II : Représentations de $\mathbf{GL}_2 (\mathbf{Q}_p)$ et $(\varphi, \Gamma)$-modules, Astérisque, no. 330 (2010), pp. 529-542. https://www.numdam.org/item/AST_2010__330__529_0/

Bibliographie
Cité par

[1] G. Böckle - "Demuškin groups with group actions and applications to deformations of Galois representations", Compositio Math. 121 (2000), p. 109-154. | MR | Zbl | DOI

[2] N. Boston - "Explicit deformation of Galois representations", Invent. Math. 103 (1991), p. 181-196. | MR | Zbl | EuDML | DOI

[3] P. Colmez - "Représentations triangulines de dimension $2$ ", Astérisque 319 (2008), p. 213-258. | MR | Zbl | Numdam

[4] P. Colmez, "Représentations de $G L_{2} (𝐐_{p})$ et $(φ, Γ)$ -modules", this volume. | Zbl | Numdam

[5] K. Iwasawa - "On Galois groups of local fields", Trans. Amer. Math. Soc. 80 (1955), p. 448-469. | MR | Zbl | DOI

[6] M. Kisin - "Deformations of $G_{𝐐_{p}}$ and $G L_{2} (𝐐_{p})$ representations", this volume. | Zbl | Numdam

[7] H. Koch - "Über Darstellungsräume und die Struktur der multiplikativen Gruppe eines $p$ -adischen Zahlkörpers", Math. Nachr. 26 (1963), p. 67-100. | MR | Zbl | DOI

[8] J. P. Labute - "Classification of Demushkin groups", Canad. J. Math. 19 (1967), p. 106-132. | MR | Zbl | DOI

[9] B. Mazur - "Deforming Galois representations", in Galois groups over $𝐐$ (Berkeley, CA, 1987), Math. Sci. Res. Inst. Publ., vol. 16, Springer, 1989, p. 385-437. | MR | Zbl | DOI

[10] L. C. Washington - "Galois cohomology", in Modular forms and Fermat's last theorem (Boston, MA, 1995), Springer, 1997, p. 101-120. | MR | Zbl | DOI