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Eisenstein series, the trace formula, and the modern theory of automorphic forms. (English) Zbl 0671.10025

Number theory, trace formulas and discrete groups, Symp. in Honor of Atle Selberg, Oslo/Norway 1987, 125-155 (1989).
[For the entire collection see Zbl 0661.00005.]
This paper presents the point of view on the modern theory of automorphic forms by a man who influenced to a great extent today’s character of this theory. The most part - and most interesting - is devoted to a discussion of Arthur’s general trace formula and the so-called “principle of functoriality” which implies the possibility of transporting automorphic representations from one group to another.
Reviewer: N.V.Kuznetsov

MSC:

11F70 Representation-theoretic methods; automorphic representations over local and global fields
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
11F80 Galois representations

Citations:

Zbl 0661.00005