Results 21 to 30 of about 676,000 (198)
Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations [PDF]
Duke mathematical journal, 2019 We study irreducible odd mod $p$ Galois representations $\bar{\rho} \colon \mathrm{Gal}(\overline{F}/F) \to G(\overline{\mathbb{F}}_p)$, for $F$ a totally real number field and $G$ a general reductive group.
N. Fakhruddin +2 more
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Adjoint Selmer groups of automorphic Galois representations of unitary type [PDF]
Journal of the European Mathematical Society (Print), 2019 Let $\rho$ be the $p$-adic Galois representation attached to a cuspidal, regular algebraic automorphic representation of $\mathrm{GL}_n$ of unitary type.
James Newton, J. Thorne
semanticscholar +1 more source
Quantitative level lowering for Galois representations [PDF]
Journal of the London Mathematical Society, 2019 We use Galois cohomology methods to produce optimal mod pd level lowering congruences to a p ‐adic Galois representation that we construct as a well‐chosen lift of a given residual mod p representation. Using our explicit Galois cohomology methods, for F
N. Fakhruddin +2 more
semanticscholar +1 more source
Galois Representations and Galois Groups Over ℚ [PDF]
, 2015 Minor changes. 13 pages. This paper contains results of the collaboration started at the conference Women in numbers - Europe, (October 2013), by the working group "Galois representations and Galois groups over Q"
Arias de Reyna Domínguez, Sara +9 more
openaire +10 more sources
On the sign of regular algebraic polarizable automorphic representations [PDF]
, 2014 We remove a parity condition from the construction of automorphic Galois representations carried out in the Paris Book Project. We subsequently generalize this construction to the case of `mixed-parity' (but still regular essentially self-dual ...
Patrikis, Stefan
core +1 more source
EULER SYSTEMS FOR HILBERT MODULAR SURFACES
Forum of Mathematics, Sigma, 2018 We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces.
ANTONIO LEI +2 more
doaj +1 more source
On automorphic points in polarized deformation rings [PDF]
, 2019 For a fixed mod $p$ automorphic Galois representation, $p$-adic automorphic Galois representations lifting it determine points in universal deformation space.
Allen, P.
core +2 more sources
Odoni’s conjecture an arboreal Galois representations is false [PDF]
, 2020 Suppose $f \in K[x]$ is a polynomial. The absolute Galois group of $K$ acts on the preimage tree $\mathrm{T}$ of $0$ under $f$. The resulting homomorphism $\rho_f: \mathrm{Gal}_K \to \mathrm{Aut} \mathrm{T}$ is called the arboreal Galois representation ...
Philip Dittmann, Borys Kadets
semanticscholar +1 more source
Infinitely Ramified Galois Representations [PDF]
The Annals of Mathematics, 2000 In this paper we show how to construct, for most p >= 5, two types of surjective representations :G_Q=Gal(\bar{Q}/Q) -> GL_2(Z_p) that are ramified at an infinite number of primes. The image of inertia at almost all of these primes will be torsion-free. The first construction is unconditional.
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The density of ramified primes in semisimple p-adic Galois representations [PDF]
, 2000 We prove that the density of ramified primes in semisimple p-adic representations of Galois groups of number fields is 0.
Khare, Chandrashekhar, Rajan, C. S.
core +2 more sources