Pierre-Henri Chaudouard (Paris): Recent progress on Gan-Gross-Prasad conjecture for unitary groups

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Abstract:
The talk is based on a joint work with Raphaël Beuzart-Plessis and Michal Zydor and on an ongoing joint work with Raphaël Beuzart-Plessis.
The Gan-Gross-Prasad (GGP) conjecture relates the non-vanishing of some periodsof cuspidal automorphic forms to that of central values of some relatedL-functions. In the case of unitary groups U(n)xU(n+1), a lot of progress have been made by a deep study of the Jacquet-Rallis trace formula. We will describesome recent results that can be obtained by a further analysis of thetrace formula. Besides the "endoscopic cases" of the GGPconjecture, we get an extension to the periods of some Eisenstein series.We will also discuss applications we can get to the so-called Bessel periods of unitary groups.

Slides:
  1. Dmitry Gourevitch
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