Deformation rings and Hecke algebras in the totally real case
arXiv:math/0602606
Abstract
One of the basic questions in number theory is to determine semi-simple l-adic representations of the absolute Galois group of a number field. In this paper, we discuss the question for two dimensional representations over a totally real number field.
This is the major update to my deformation ring paper, which is already submitted to a journal