In his book “Cohomologie galoisienne, ” Serre formulates the following conjecture: Conjecture II: ([22, §3.1]) For every simply connected semisimple linear algebraic group G defined over a perfect field F of cohomological dimension at most 2, the Galois cohomology set H1(F,G) is trivial
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...
Let $K$ be a complete discrete valuation field of characteristic zero with residue field $k_K$ of ch...
Ideas from Khare’s and Wintenberger’s article on the proof of Serre’s conjecture for odd con-ductors...
AbstractElaborating on techniques of Bayer-Fluckiger and Parimala, we prove the following strong ver...
Abstract We provide a survey of Serre’s conjecture II (1962) on the vanishing of Galois cohomology f...
In this article, we prove three transfer principles for the cohomological dimension of fields. Given...
La théorie des groupes algébriques sur un corps arbitraire est l’une des branches les plus merveille...
Under suitable hypotheses, we prove that a form of a projective homogeneous variety G/P defined over...
We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on ...
The aim of this thesis is to give a complete proof of the tame inertia Serre's conjecture which give...
In this thesis, we explore two conjectures about Galois representations. The first one is the Tate ...
In 1987, Serre proved that if G is a p-group which is not elementary abelian, then a product of Bock...
Ideas and techniques from Khare´s and Wintenberger’s preprint on the proof of Serre’s conjecture for...
The goal of this series if lecture is firstly to present basic results for re-ductive algebraic grou...
AbstractIn this paper McGibbon-Neisendorfer's Serre Conjecture Theorem is improved. As corollaries, ...
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...
Let $K$ be a complete discrete valuation field of characteristic zero with residue field $k_K$ of ch...
Ideas from Khare’s and Wintenberger’s article on the proof of Serre’s conjecture for odd con-ductors...
AbstractElaborating on techniques of Bayer-Fluckiger and Parimala, we prove the following strong ver...
Abstract We provide a survey of Serre’s conjecture II (1962) on the vanishing of Galois cohomology f...
In this article, we prove three transfer principles for the cohomological dimension of fields. Given...
La théorie des groupes algébriques sur un corps arbitraire est l’une des branches les plus merveille...
Under suitable hypotheses, we prove that a form of a projective homogeneous variety G/P defined over...
We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on ...
The aim of this thesis is to give a complete proof of the tame inertia Serre's conjecture which give...
In this thesis, we explore two conjectures about Galois representations. The first one is the Tate ...
In 1987, Serre proved that if G is a p-group which is not elementary abelian, then a product of Bock...
Ideas and techniques from Khare´s and Wintenberger’s preprint on the proof of Serre’s conjecture for...
The goal of this series if lecture is firstly to present basic results for re-ductive algebraic grou...
AbstractIn this paper McGibbon-Neisendorfer's Serre Conjecture Theorem is improved. As corollaries, ...
In the 1970s, Serre formulated his remarkable conjecture that every two-dimensional mod-p Galois rep...
Let $K$ be a complete discrete valuation field of characteristic zero with residue field $k_K$ of ch...
Ideas from Khare’s and Wintenberger’s article on the proof of Serre’s conjecture for odd con-ductors...