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20192026
most citedThe global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case

2 citations · 4 across the 4 of their papers we have counts for

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5 papers

math.RT2026

Generic distinction of induced representations: the case of symmetric spaces

Pierre-Henri Chaudouard, Cheng Chen

Let H be the fixed-point subgroup of an involution of a reductive group G over a local field F of characteristic zero. We give a necessary condition for a parabolically induced rep…

math.RT2023★ 1 cited

The global Gan-Gross-Prasad conjecture for unitary groups. II. From Eisenstein series to Bessel periods

Raphaël Beuzart-Plessis, Pierre-Henri Chaudouard

We state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture to the case of some Eisenstein series on unitary groups $U_n\times U_{n+1}…

math.RT2022★ 1 cited

A spectral expansion for the symmetric space

Pierre-Henri Chaudouard

In this article we state and prove the spectral expansion of theta series attached to the symmetric space where and is a quadrat…

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…