Minimal modularity lifting for GL2 over an arbitrary number field

Abstract

We prove a modularity lifting theorem for minimally ramified deformations of two-dimensional odd Galois representations, over an arbitrary number field. The main ingredient is a generalization of the Taylor-Wiles method in which we patch complexes rather than modules.

8 pages; final version, to appear in Math. Res. Letters

References in corpus (2)

• Deformation rings and Hecke algebras in the totally real case
• Universal coefficients for overconvergent cohomology and the geometry of eigenvarieties

Cited by in corpus (2)

• Derived Galois deformation rings
• Derived deformation rings allowing congruences]{Derived deformation rings allowing congruences