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Which values determine the whole Galois representation of an elliptic curve over the p-adics with potentially good reduction?

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#abstract-algebra #representation-theory #algebraic-number-theory #elliptic-curves #galois-representations
51
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A question on finding an inverse image of $\varphi-1$ over some $(\varphi, \Gamma)$-module, from an article by Cherbonnier and Colmez.

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#galois-representations #galois-cohomology
69
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Kronecker-Weber à la Wiles

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#number-theory #galois-theory #algebraic-number-theory #galois-representations
337
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Decomposition group of $G_{K,S}$

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#abstract-algebra #number-theory #galois-theory #galois-representations
174
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Details in Deligne-Serre "Formes modulaires de poids 1"

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#modular-forms #galois-representations #langlands-program
97
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Why $\mathbb{Q}(x_1,y_1,...,x_n,y_n)/\mathbb{Q}$ is a Galois extension? where $E[m]=\{(x_1,y_1),...,(x_n,y_n)\}$ is the m-torsion group.

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#algebraic-geometry #galois-theory #elliptic-curves #algebraic-curves #galois-representations
154
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If $\rho$ is a mod $p$ irreducible representation of $G_{\mathbb{Q}_p}$, why is it tamely ramified?

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#number-theory #representation-theory #p-adic-number-theory #ramification #galois-representations
106
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$p^n$ power torsion and $p^{n+1}$ power torsion defined over the same field

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#number-theory #elliptic-curves #galois-representations
91
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Reference request for equivalence of reducibility of $\ell$-adic Galois representation and isogeny of degree $\ell$ on elliptic curve

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#algebraic-geometry #galois-theory #elliptic-curves #galois-extensions #galois-representations
75
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Is the Galois condition necessary in order to define an action on an elliptic curve?

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#algebraic-geometry #elliptic-curves #galois-extensions #galois-representations
62
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About Galois representation, which Galois extension should i use?

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#galois-theory #elliptic-curves #algebraic-curves #galois-representations
341
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Definition of non split Cartan subgroup

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#group-theory #field-theory #algebraic-curves #galois-representations
150
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Why do the Galois and Hecke action commute on the Picard group of the modular curve $X_1(N)$?

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#algebraic-geometry #modular-forms #galois-representations
235
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An isomorphism related to Fontaine's periods rings

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#algebraic-geometry #algebraic-number-theory #p-adic-number-theory #galois-representations
122
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On prime ideal and irreducible ideal in R[X].

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#number-theory #commutative-algebra #galois-theory #galois-representations #galois-cohomology

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