Eigenvarieties for non-cuspidal automorphic forms over certain PEL Unitary Shimura varieties

28.11.2023 13:15 - 14:45

Adel Betina (U Copenhagen)

We construct eigenvarieties for unitary groups \(GU(r,s)\) that parametrise systems of eigenvalues of \(p\)-adic automorphic forms including Eisenstein series! The cuspidal locus of our eigenvarieties is strictly contained in the Eigenvarieties constructed by Andreatta, Iovita, and Pilloni.

We end this talk by giving some applications on p-adic L-functions.


H. Grobner, A. Minguez-Espallargas, A. Mellit


BZ 2, 2. OG., OMP 1