Author Martin Luu presents students, academics, researchers, and mathematics professionals with an examination of the deformation theory of automorphic representations and its use to study local properties of Galois representations. The author has organized the main body of his text in nine chapters devoted to the local-global compatibility of Hilbert modular forms, local-global compatibility results via crystalline periods, local semi-simplifications, congruences, the case of general linear groups, the case of symplectic groups, and a wide variety of other related subjects. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)