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math.RT2020★ 2 cited
The global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case
Raphaël Beuzart-Plessis, Pierre-Henri Chaudouard, Michał Zydor
In this paper, we prove the Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture for unitary groups in all the endoscopic cases. Our main technical innov…
math.RT2019
On the fine expansion of the unipotent contribution of the Guo-Jacquet trace formula
Pierre-Henri Chaudouard
For a useful class of functions (containing functions whose one finite component is essentially a matrix coefficient of a supercuspidal representation), we establish three results…