Description
This is the first volume of a projected series of two or three collections of mainly expository articles on the arithmetic theory of automorphic forms. The books are intended primarily for two groups of readers. The first group is interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information about the multiplicities of automorphic representations. The second group is interested in the problem of classifying l–adic representations of Galois groups of number fields. Langlands’ conjectures elaborate on the notion that these two problems overlap to a considerable degree. The goal of this series of books is to gather into one place much of the evidence that this is the case, and to present it clearly and succinctly enough so that both groups of readers are not only convinced by the evidence but can pass with minimal effort between the two points of view. More than a decade’s worth of progress toward the stabilization of the ArthurSelberg trace formula, culminating in Ngô Bau Châu’s recent proof of the Fundamental Lemma, has made this series timely.
Publications
Pub. Date 
ISBN13 
ISBN10 
Medium 
Binding 
Size, Etc. 
Status 
List Price 
2017 Oct 
9781571463555 
1571463550 
paperback 
7” x 10” 
In Print 
US$50.00 

2011 Jun 
9781571462275 
1571462279 
hardcover 
7” x 10” 
In Print 
US$100.00 