This is the second volume of a series of mainly expository articles
on the arithmetic theory of automorphic forms. It forms a sequel to
On the Stabilization of the Trace Formula published in 2011. The
books are intended primarily for two groups of readers: those
interested in the structure of automorphic forms on reductive
groups over number fields, and specifically in qualitative
information on multiplicities of automorphic representations; and
those interested in the classification of I-adic representations of
Galois groups of number fields. Langlands' conjectures elaborate on
the notion that these two problems overlap considerably. These
volumes present convincing evidence supporting this, clearly and
succinctly enough that readers can pass with minimal effort between
the two points of view. Over a decade's worth of progress toward
the stabilization of the Arthur-Selberg trace formula, culminating
in Ngo Bau Chau's proof of the Fundamental Lemma, makes this series
timely.
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