Inspired by a Galois representation, we will set up the theory of deformations with more generality and try to give two proofs, one using the Schlesinger criteria and another explicitly about the existence of an object called the universal deformation. That’s why we give a brief introduction about Galois deformations.

Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Curs: 2023-2024. Director: L. V. Dieulefait