Raphael Beuzart-Plessis

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20182020

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

2 citations · 2 across the 1 of their papers we have counts for

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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 $U_{n} \times U_{n + 1}$ in all the endoscopic cases. Our main technical innov…

math.RT2018

Archimedean theory and $ε$ -factors for the Asai Rankin-Selberg integrals

Raphaël Beuzart-Plessis

In this paper, we partially complete the local Rankin-Selberg theory of Asai $L$ -functions and $ε$ -factors as introduced by Flicker and Kable. In particular, we establish the relev…

math.RT2018

Plancherel formula for $GL_{n} (F) \ GL_{n} (E)$ and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups

Raphaël Beuzart-Plessis

We establish an explicit Plancherel decomposition for $GL_{n} (F) \ GL_{n} (E)$ where $E / F$ is a quadratic extension of local fields of characteristic zero by m…

The global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case

Archimedean theory and ε-factors for the Asai Rankin-Selberg integrals

Plancherel formula for GLn​(F)\GLn​(E) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups

Archimedean theory and $ε$ -factors for the Asai Rankin-Selberg integrals

Plancherel formula for $GL_{n} (F) \ GL_{n} (E)$ and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups