Zobrazeno 1 - 10
of 342
pro vyhledávání: '"Galois deformation"'
Autor:
Paškūnas, Vytautas, Quast, Julian
We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised reductive group schemes, such as $L$-groups and $C$-groups. We show that the corresponding deformation rings are complete intersections of exp
Externí odkaz:
http://arxiv.org/abs/2404.14622
Autor:
Paškūnas, Vytautas, Quast, Julian
We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised tori, such as $L$-groups of (possibly non-split) tori. We show that the corresponding deformation rings are formally smooth over a group algeb
Externí odkaz:
http://arxiv.org/abs/2404.14615
Autor:
Iorga, Andreea
In this paper, we prove, under a technical assumption, that any semi-direct product of a $p$-group $G$ with a group $\Phi$ of order prime to $p$ can appear as the Galois group of a tower of extensions $H/K/F$ with the property that $H$ is the maximal
Externí odkaz:
http://arxiv.org/abs/2310.07105
Akademický článek
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Autor:
Le, Daniel, Hung, Bao Viet Le
We survey some recent progress on generalizations of conjectures of Serre concerning the cohomology of arithmetic groups, focusing primarily on the "weight" aspect. This is intimately related to (generalizations of) a conjecture of Breuil and M\'ezar
Externí odkaz:
http://arxiv.org/abs/2203.02045
Autor:
Ray, Anwesh, Weston, Tom
Publikováno v:
Ramanujan J. 64 (2024), no. 3, pp. 685-708
Given an elliptic curve $E$ defined over the rational numbers and a prime $p$ at which $E$ has good reduction, we consider the Galois deformation ring parametrizing lifts of the residual representation on the $p$-torsion group $E[p]$. For a fixed ell
Externí odkaz:
http://arxiv.org/abs/2108.13480
We show that framed deformation rings of mod $p$ representations of the absolute Galois group of a $p$-adic local field are complete intersections of expected dimension. We determine their irreducible components and show that they and their special f
Externí odkaz:
http://arxiv.org/abs/2110.01638
We construct projective varieties in mixed characteristic whose singularities model, in generic cases, those of tamely potentially crystalline Galois deformation rings for unramified extensions of $\mathbb{Q}_p$ with small regular Hodge-Tate weights.
Externí odkaz:
http://arxiv.org/abs/2007.05398
Autor:
Cai, Yichang, Tilouine, Jacques
In a recent work of Galatius and Venkatesh, the authors showed the importance of studying simplicial generalizations of Galois deformation functors. They established a precise link between the simplicial universal deformation ring $R$ prorepresenting
Externí odkaz:
http://arxiv.org/abs/2007.02647
Autor:
Le, Daniel1 (AUTHOR), Hung, Bao V. Le2 (AUTHOR), Levin, Brandon3 (AUTHOR), Morra, Stefano4 (AUTHOR) morra@math.univ-paris13.fr
Publikováno v:
Inventiones Mathematicae. Mar2023, Vol. 231 Issue 3, p1277-1488. 212p.
