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Local Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomy

Cheng Chen, Xiaowei Li, Bushi Ren

Source record

Source: arXiv

Published: Oct 21, 2026

arXiv: 2610.29483

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Source abstract

The purpose of this paper is to provide a proof independent of the theta-lifting for the epsilon-dichotomy of the local Gan-Gross-Prasad conjecture of real unitary groups for tempered L-parameters. The approach is based on the local trace formula and endoscopic character identities following Waldspurger and Chen-Luo.

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Local Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomy — Mathematical Frontier Network