30 citations · 81 across the 10 of their papers we have counts for
11 papers
The Hiraga-Ichino-Ikeda conjecture on formal degrees for classical groups
Raphaël Beuzart-Plessis
We prove a conjecture of Hiraga-Ichino-Ikeda relating formal degrees of square-integrable representations to adjoint gamma factors for symplectic and even orthogonal groups over ch…
A local twisted trace formula for Whittaker induction of coregular symmetric pairs: the geometric side
Raphaël Beuzart-Plessis, Chen Wan
In this paper, we prove the geometric expansion of a local twisted trace formula for the Whittaker induction of any symmetric pairs that are coregular. This generalizes the local (…
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}…
Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices
Raphaël Beuzart-Plessis
This paper contains two results concerning the spectral decomposition, in a broad sense, of the space of nondegenerate Hermitian matrices over a local field of characteristic zero.…
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…
A new proof of Jacquet-Rallis's fundamental lemma
Raphaël Beuzart-Plessis
We give a new proof of the so-called Lie algebra version of Jacquet-Rallis's fundamental lemma for local non-Archimedean fields of characteristic zero. This proof is local and base…
Archimedean theory and -factors for the Asai Rankin-Selberg integrals
Raphaël Beuzart-Plessis
In this paper, we partially complete the local Rankin-Selberg theory of Asai -functions and -factors as introduced by Flicker and Kable. In particular, we establish the relev…
Plancherel formula for and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups
Raphaël Beuzart-Plessis
We establish an explicit Plancherel decomposition for where is a quadratic extension of local fields of characteristic zero by m…
On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad
Raphaël Beuzart-Plessis
We prove an integral formula computing multiplicities of square-integrable representations relative to Galois pairs over -adic fields and we apply this formula to verify two con…
Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups
Raphaël Beuzart-Plessis
In this paper, we prove a conjecture of Wei Zhang on comparison of certain local spherical characters from which we draw some consequences for the Ichino-Ikeda conjecture for unita…
A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case
Raphaël Beuzart-Plessis
In this paper, we prove, following earlier work of Waldspurger ([Wa1], [Wa4]), a sort of local relative trace formula which is related to the local Gan-Gross-Prasad conjecture for…