Hilbert modular forms and Galois representations

2024/01/04 by Nair, Ajith, Yamin, Ajmain
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2401.02382

Abstract

In this expository article, we present a brief introduction to the theory of Hilbert modular forms and Galois representations, and describe what it means to attach a compatible system of Galois representations to a Hilbert modular form.

Related

• Hilbert modular forms and their applications
• Explicit determination of images of Galois representations attached to Hilbert modular forms
• Computing Hilbert modular forms as orthogonal modular forms
• Explicit methods for Hilbert modular forms
• Introduction aux formes modulaires de Hilbert et a leur proprietes differentielles