Download or read book Deformation Theory and Local-Global Compatibility of Langlands Correspondences written by Martin Luu and published by American Mathematical Soc.. This book was released on 2015-10-27 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with representations predicted by a local Langlands correspondence.