Résumé
Under endoscopic assumptions about L-packets of unitary groups, we prove the local Gan-Gross-Prasad conjecture for tempered representations of unitary groups over p-adic fields. Roughly, this conjecture says that branching laws for U(n-1)⊂ U(n) can be computed using epsilon factors.
| langue originale | Français |
|---|---|
| Pages (de - à) | 1309-1371 |
| Nombre de pages | 63 |
| journal | Compositio Mathematica |
| Volume | 151 |
| Numéro de publication | 7 |
| Les DOIs | |
| état | Publié - 25 juil. 2015 |
| Modification externe | Oui |
mots-clés
- Gan-Gross-Prasad conjecture
- endoscopy
- unitary groups
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