 
Summary: Canadian Mathematical Society
Conference Proceedings
Volume 1 (1981)
AUTOMORPHIC REPRESENTATIONS AND NUMBER THEORY*
James Arthur
Department of Mathematics
University of Toronto
Toronto, Canada
An excellent introduction to the theory of automorphic
representations and the relations with number theory is the
Corvallis proceedings, Automorphic Forms, Representations and
LFunctions, Parts 1 and 2, Proc. Sympos. Pure Math., vol. 33,
1979. Although composed mainly of survey articles, the pro
ceedings are already rather formidable. They are a measure
of the breadth of the field. They will be most useful to
mathematicians who are already experts in some branch of the
subject.
Our purpose here is to give a modest introduction to the
Corvallis proceedings. More precisely, our goal is to describe
the Langlands functoriality conjecture, a mathematical insight
