Paul Boisseau

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20242026

most citedThe global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups I: Coarse expansions of the relative trace formulae

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math.NT2026

The fine spectral expansion of the Rankin-Selberg period

Paul Boisseau

We state and prove the spectral expansion of the theta series attached to the Rankin-Selberg spherical variety $(GL_{n + 1} \times GL_{n}) / GL_{n}$ . This is a k…

math.RT2026

The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups III: Proof of the main theorems

Paul Boisseau, Weixiao Lu, Hang Xue

This is the third and the last of a series of three papers where we prove the Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups and an Ichino--Ikeda type…

math.RT2026

The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups II: Comparison of the relative trace formulae

Paul Boisseau, Weixiao Lu, Hang Xue

This is the second of a series of three papers where we prove the Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups and an Ichino--Ikeda type refinement.…