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Research talks;Lie Theory and Generalizations;Number Theory
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.
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 ...
22E50 ; 11F85
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- ix; 305 p.
ISBN 978-2-85629-919-7
Astérisque , 0418
Localisation : Périodique 1er étage
formule des traces locale # conjecture de Gan-Gross-Prasad # représentations des groupes de Lie réels et p-adiques
22E50 ; 11F85 ; 20G05
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