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Unobstructedness of Galois deformation rings associated to regular algebraic conjugate self-dual cuspidal automorphic representations

Autor: David-Alexandre Guiraud

Publikováno v: Algebra Number Theory 14, no. 6 (2020), 1331-1380

Let [math] be a CM field and let [math] be the compatible system of residual [math] -valued representations of [math] attached to a regular algebraic conjugate self-dual cuspidal (RACSDC) automorphic representation [math] of [math] , as studied by Cl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f54b222138a109722b03dea709dca66
https://doi.org/10.2140/ant.2020.14.1331

Cyclicity of adjoint Selmer groups and fundamental units

Autor: Haruzo Hida

Publikováno v: Development of Iwasawa Theory — the Centennial of K. Iwasawa's Birth, M. Kurihara, K. Bannai, T. Ochiai and T. Tsuji, eds. (Tokyo: Mathematical Society of Japan, 2020)

We study the universal minimal ordinary Galois deformation $\rho_{\mathbb{T}}$ of an induced representation $\operatorname{Ind}_F^{\mathbb{Q}} \varphi$ from a real quadratic field $F$ with values in $\mathrm{GL}_2(\mathbb{T})$. By Taylor–Wiles, the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca3fe570316ecc2dd45c422b8f733960
https://projecteuclid.org/euclid.aspm/1610494022

Algebraic monodromy groups of $l$-adic representations of Gal$(\overline{\mathbb{Q}} /\mathbb{Q})$

Autor: Tang, Shiang

Publikováno v: Algebra Number Theory 13, no. 6 (2019), 1353-1394

In this paper we prove that for any connected reductive algebraic group [math] and a large enough prime [math] , there are continuous homomorphisms ¶ Gal ( ℚ ̄ ∕ ℚ ) → G ( ℚ ̄ l ) ¶ with Zariski-dense image, in particular we produce the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=project_eucl::e075a34fd41efc22732900f359c53ad5
https://projecteuclid.org/euclid.ant/1566353011