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The relative trace formula of Jacquet-Rallis
If you have a question about this talk, please contact G. Rosso.
The global Gan-Gross-Prasad conjectures relate periods of automorphic forms and central values of automorphic L-functions. They generalise several celebrated results and are a beautiful application of the recently proven endoscopic classification of discrete automorphic representations of classical groups. In my talk, I will introduce the conjectures as well as their refinement proposed by Ichino-Ikeda. The case of unitary group will be the focus, where Jacquet and Rallis proposed a relative trace formula approach and I will discuss the progress that this method has enabled.
This talk is part of the Number Theory Seminar series.
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