6 citations · 16 across the 15 of their papers we have counts for
15 papers
Langlands Base Change for GL(2)
Luis Dieulefait
Let F be a totally real Galois number field. We prove the existence of base change relative to the extension F/Q for every classical newform of odd level, under simple local assump…
On the modularity of rigid Calabi-Yau threefolds: Epilogue
Luis Dieulefait
In a recent preprint of F. Gouvea and N. Yui (see arXiv:0902.1466) a detailed account is given of a patching argument due to Serre that proves that the modularity of all rigid Cala…
On Modular Forms and the Inverse Galois Problem
Luis Dieulefait, Gabor Wiese
In this article new cases of the Inverse Galois Problem are established. The main result is that for a fixed integer n, there is a positive density set of primes p such that PSL_2(…
On the classification of geometric families of 4-dimensional Galois representations
Luis Dieulefait, Nuria Vila
We give a classification theorem for certain four-dimensional families of geometric -adic Galois representations attached to a pure motive. More precisely, we consider families…
Proving modularity for a given elliptic curve over an imaginary quadratic field
Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti
We present an algorithm to determine if the -series associated to an automorphic representation and the one associated to an elliptic curve over an imaginary quadratic field agr…
Solving Fermat-type equations x^5+y^5=dz^p
Nicolas Billerey, Luis Dieulefait
In this paper we are interested in solving the Fermat-type equations x^5+y^5=dz^p where d is a positive integer and p a prime number . We describe a new method based on modu…