works on
base-change lifts 1hecke eigenvalues 1hida families 1hilbert modular forms 1totally real fields 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.NT2026

On the computation of base-change lifts and lifts of Hida families

Iván Blanco-Chacón, Luis Dieulefait, Antti Haavikko

The paper gives an explicit formula for Hecke eigenvalues of Hilbert modular forms that arise as base‑change lifts of classical newforms to totally real fields, shows how their L‑f…

math.NT2025

Automorphy of in the self-dual case

Sara Arias-de-Reyna, Luis Dieulefait, Josu Pérez

In this paper we establish a new case of Langlands functoriality. More precisely, we prove that the tensor product of the compatible system of Galois representations attached to a…

math.NT2025

On Darmon's program for the generalized Fermat equation, I

Nicolas Billerey, Imin Chen, Luis Dieulefait +1

In 2000, Darmon described a program to study the generalized Fermat equation using modularity of abelian varieties of -type over totally real fields. The original ap…