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 \(U(n) \times U(n+1)\). 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.
Anticyclotomic \(p\)-adic L-functions for \(U(n) \times U(n+1)\)
21.01.2025 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location: