Astérisque, n° 418. A local trace formula for the Gan-Gross-Prasad conjecture for unitary group : the archimedean case

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Format : Broché
Nb de pages : IX-305 pages
Poids : 400 g
Date de parution :
ISBN : 978-2-85629-919-7
EAN : 9782856299197

A local trace formula for the Gan-Gross-Prasad conjecture for unitary group

the archimedean case

de

chez Société mathématique de France

Serie : Astérisque. Vol 418

Paru le | Broché IX-305 pages

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Quatrième de couverture

In this volume, we prove, inspired by earlier work of Wald-spurger on orthogonal groups, a sort of local trace formula which is related to the local Gan-Gross-Prasad conjecture over any local field F of characteristic zero. As a consequence, we obtain a geometric formula for certain multiplicities (...) appearing in this conjecture and deduce from it a weak form of the local Gan-Gross-Prasad conjecture (multiplicity one in tempered L-packets). These results were already known over p-adic fields by previous work of the author and thus are only new when F = (...). However, the proof we present here works uniformly over all local fields of characteristic zero.