The Stable Trace Formula

Wednesday, November 14, 2018 - 3:30pm - 4:30pm
Keller 3-180
James Arthur (University of Toronto)
The stable trace formula was conjectured by Langlands around 1970. He proposed that it be the central ingredient in what later became known as the Theory of Endoscopy, a classification of the internal structure of automorphic representations.

The stable trace formula has now been established for general groups. We shall say something about it various terms, and discuss briefly its present role in the Theory of Endoscopy. We shall then try to give some idea of how it might be used in Beyond Endoscopy, Langlands' more recent proposal for combining the stable trace formula with the theory of automorphic L-funtions in order to attack the general Principle of Functoriality.