Séminaire TNGA : Xenia Dimitrakopoulou

Oratrice : Xenia Dimitrakopoulou (Aix-Marseille Université)

Titre : Anticyclotomic p -adic L-functions for U(n) x U(n+1)

Résumé : In this talk, I will explain how p-adically interpolating the branching law for the spherical pair allows us to construct a p-adic L-function attached to Coleman families of cohomological automorphic representations of U(n) x U(n+1). Using the recent proof of the unitary Gan–Gross–Prasad conjecture, I will demonstrate that this p-adic L-function interpolates the square root of the central critical L-value, including anticyclotomic variation.