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
AbstractThe proof of Serre’s conjecture on Galois representations over finite fields allows us to sh...
Throughout this thesis, we develop theory and the algorithms that lead to an effective method to stu...
Let F be a CM field with totally real subfield F+ and let π be a C-algebraic cuspidal automorphic re...
AbstractLetρbe a two-dimensional semisimple odd representation ofGal(Q/Q) over a finite field of cha...
In the mid 90s, Dick Gross made the following conjecture. Conjecture: For every prime $p$, there ...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
For a quadratic field K, we investigate continuous mod p representations of the absolute Galois grou...
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
In the mid 90s, Dick Gross proposed the following conjecture. Conjecture: For every prime p, there ...
Ideas and techniques from Khare´s and Wintenberger’s preprint on the proof of Serre’s conjecture for...
Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic...
DoctorIn this article, under the assumption of the GRH(Generalized Riemann Hypothesis), we show that...
In this thesis, we study some congruences on the odd prime factors of the class number of the number...
AbstractBoston [2] asked a question concerning the existence of unramifiedp-extensions, which is clo...
29 pagesInternational audienceLet p be an odd prime, K a finite extension of Q_p , G_K = Gal(Kbar/K)...
AbstractThe proof of Serre’s conjecture on Galois representations over finite fields allows us to sh...
Throughout this thesis, we develop theory and the algorithms that lead to an effective method to stu...
Let F be a CM field with totally real subfield F+ and let π be a C-algebraic cuspidal automorphic re...
AbstractLetρbe a two-dimensional semisimple odd representation ofGal(Q/Q) over a finite field of cha...
In the mid 90s, Dick Gross made the following conjecture. Conjecture: For every prime $p$, there ...
For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, pro...
For a quadratic field K, we investigate continuous mod p representations of the absolute Galois grou...
AbstractWe compute the Galois groups of several 2-extensions of Q ramified at finitely many odd prim...
In the mid 90s, Dick Gross proposed the following conjecture. Conjecture: For every prime p, there ...
Ideas and techniques from Khare´s and Wintenberger’s preprint on the proof of Serre’s conjecture for...
Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic...
DoctorIn this article, under the assumption of the GRH(Generalized Riemann Hypothesis), we show that...
In this thesis, we study some congruences on the odd prime factors of the class number of the number...
AbstractBoston [2] asked a question concerning the existence of unramifiedp-extensions, which is clo...
29 pagesInternational audienceLet p be an odd prime, K a finite extension of Q_p , G_K = Gal(Kbar/K)...
AbstractThe proof of Serre’s conjecture on Galois representations over finite fields allows us to sh...
Throughout this thesis, we develop theory and the algorithms that lead to an effective method to stu...
Let F be a CM field with totally real subfield F+ and let π be a C-algebraic cuspidal automorphic re...
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