AbstractLetρbe a two-dimensional semisimple odd representation ofGal(Q/Q) over a finite field of characteristic 5 which is unramified outside 5. Assuming the GRH, we show in accordance with a conjecture by Serre thatρ=χa5⊕χb5, wherea+bis odd
Serre’s conjecture relates two-dimensional odd irreducible characteris-tic p representations to modu...
This document consists of rough notes for a talk given at the Luminy conference on Serre’s conjectur...
Abstract. Some finiteness and non-existence results are proved of 2-dimensional mod 2 Galois represe...
AbstractLetρbe a two-dimensional semisimple odd representation ofGal(Q/Q) over a finite field of cha...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
In this Note, we show the existence of a non-solvable Galois extension of Q which is unramified outs...
In the mid 90s, Dick Gross proposed the following conjecture. Conjecture: For every prime p, there ...
In the mid 90s, Dick Gross made the following conjecture. Conjecture: For every prime $p$, there ...
For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Galois repre...
For a quadratic field K, we investigate continuous mod p representations of the absolute Galois grou...
Abstract. For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Ga...
Abstract. For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Ga...
We study the inverse Galois problem with restricted ramifications. Let p and q be distinct odd prime...
DoctorIn this article, under the assumption of the GRH(Generalized Riemann Hypothesis), we show that...
We employ methods from homotopy theory to define new obstructions to solutions of embedding problems...
Serre’s conjecture relates two-dimensional odd irreducible characteris-tic p representations to modu...
This document consists of rough notes for a talk given at the Luminy conference on Serre’s conjectur...
Abstract. Some finiteness and non-existence results are proved of 2-dimensional mod 2 Galois represe...
AbstractLetρbe a two-dimensional semisimple odd representation ofGal(Q/Q) over a finite field of cha...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
In this Note, we show the existence of a non-solvable Galois extension of Q which is unramified outs...
In the mid 90s, Dick Gross proposed the following conjecture. Conjecture: For every prime p, there ...
In the mid 90s, Dick Gross made the following conjecture. Conjecture: For every prime $p$, there ...
For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Galois repre...
For a quadratic field K, we investigate continuous mod p representations of the absolute Galois grou...
Abstract. For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Ga...
Abstract. For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Ga...
We study the inverse Galois problem with restricted ramifications. Let p and q be distinct odd prime...
DoctorIn this article, under the assumption of the GRH(Generalized Riemann Hypothesis), we show that...
We employ methods from homotopy theory to define new obstructions to solutions of embedding problems...
Serre’s conjecture relates two-dimensional odd irreducible characteris-tic p representations to modu...
This document consists of rough notes for a talk given at the Luminy conference on Serre’s conjectur...
Abstract. Some finiteness and non-existence results are proved of 2-dimensional mod 2 Galois represe...
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