00:00:00 / 00:00:00

The local Gan-Gross-Prasad conjecture for unitary groups

By Raphaël Beuzart Plessis

Appears in collection : Jean-Morlet Chair: Relative trace formula, periods, L-functions and harmonic analysis / Chaire Jean-Morlet : Formule des traces relatives, périodes, fonctions L et analyse harmonique

The local Gan-Gross-Prasad conjectures concern certain branching or restriction problems between representations of real or p-adic Lie groups. In its simplest form it predicts certain multiplicity-one results for "extended" L-packets. In a recent series of papers, Waldspurger has settled the conjecture for special orthogonal groups over p-adic field. In this talk, I will present a proof of the conjecture for unitary groups which has the advantage of working equally well over archimedean and non-archimedean fields.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.18982003
  • Cite this video BEUZART-PLESSIS, Raphaël (26/05/2016). The local Gan-Gross-Prasad conjecture for unitary groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18982003
  • URL https://dx.doi.org/10.24350/CIRM.V.18982003

Bibliography

  • Beuzart-Plessis, R. (2015). A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case. <arXiv:1506.01452> - http://arxiv.org/abs/1506.01452

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback