Elliptic Curves, Hilbert Modular Forms and Galois Deformations

This volume captures the essence of advanced mathematical concepts through a collection of notes that stem from specialized courses at the Centre de Recerca Matemàtica. The collaborative effort of renowned mathematicians unravels intricate topics that interweave elliptic curves, Hilbert modular forms, and Galois deformations. Each section is meticulously designed to enhance understanding of these complex subjects, making them accessible to readers with a solid foundation in algebra and number theory.

The authors guide readers through both theoretical frameworks and practical applications, providing insights that are not only informative but also stimulate further exploration in the field. The interplay between various mathematical structures is examined in depth, offering a rich resource for researchers and students alike aiming to delve into contemporary number theory's challenges and advancements.