Arthur-Selberg Trace Formula and Endoscopy

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• Jean-Pierre Labesse (Institut de Mathématiques de Luminy)
• Tuesday 20 May 2014, 14:30-15:30
• MR13.

If you have a question about this talk, please contact James Newton.

In the seventies Langlands has launched a program called Endoscopy which relies on the stabilization of the Arthur-Selberg trace formula. In fact a variant of it, called twisted endoscopy, has become the main tool to establish some cases of Langlands functoriality. Base change for GL(2) was the first example.

The main technical obstacle being the celebrated “Fundamental Lemma” is now a theorem. This allows for new results by Arthur and others on classical and unitary groups, but that are still conditional to some work in progress by Waldspurger and Moeglin. The aim of this talk is to present a survey of these methods and results.

This talk is part of the Number Theory Seminar series.

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