INTRODUCTION TO NON-ABELIAN CLASS FIELD THEORY, AN: AUTOMORPHIC FORMS OF WEIGHT 1 AND 2-DIMENSIONAL GALOIS REPRESENTATIONS

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1.