Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups

Raphaël Beuzart-Plessis (1)

1 I2M - Institut de Mathématiques de Marseille

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 unitary groups.

Mots clés: Local trace formula; Ichino-Ikeda conjecture; Gross-Prasad; automorphic forms; p-adic groups

Domaines: Mathématiques générales [math.GM]; Théorie des nombres [math.NT]; Théorie des représentations [math.RT]

Raphaël Beuzart-Plessis. Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups. Journal de l'Institut de Mathématiques de Jussieu, 2021, 20 (6), pp.1803-1854. ⟨10.1017/S1474748019000707⟩. ⟨hal-01941343⟩