On the stabilization of the trace formula.
Résumé
The present volume is the first in a projected series of three or
four collections
of mainly expository articles on the arithmetic theory of automorphic forms.
The books are primarily intended 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 are in large measure the same. The goal of this series
of books is to
gather into one place 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.