Summary: HarmonicAnalysisand
GroupRepresentations
James Arthur
26 NOTICES OF THE AMS VOLUME 47, NUMBER 1
H
armonic analysis can be interpreted
broadly as a general principle that re-
lates geometric objects and spectral
objects. The two kinds of objects are
sometimes related by explicit formu-
las, and sometimes simply by parallel theories.
This principle runs throughout much of mathe-
matics. The rather impressionistic table at the top
of the opposite page provides illustrations from
different areas.
The table gives me a pretext to say a word about
the Langlands program. In very general terms, the
Langlands program can be viewed as a series of far-
reaching but quite precise conjectures, which de-
scribe relationships among two kinds of spectral

Source: Arthur, James G. - Department of Mathematics, University of Toronto

Collections: Mathematics