In the late 1970s, using higher algebraic K-theory, class field theory was generalized to higher-dimensional local and global fields. Thus, it is a very natural question to ask and seek, although conjectural in nature, for the higher-dimensional version of the reciprocity principle of Langlands and, more generally, the higher-dimensional analog of the functoriality principle of Langlands. However, there are very few works addressing this very important, open and exciting problem of current mathematics. This book aims at providing an introductory, detailed and up-to-date study of Kapranov's...
In the late 1970s, using higher algebraic K-theory, class field theory was generalized to higher-dimensional local and global fields. Thus, it is a ve...
