A finiteness result for p-adic families of Bianchi modular forms

Serban, Vlad2022-06-202022-06-202022-06-202022-04-0110.1016/j.jnt.2021.06.016https://infoscience.epfl.ch/handle/20.500.14299/188547WOS:000795846800017We study p-adic families of cohomological automorphic forms for GL(2) over imaginary quadratic fields and prove that families interpolating a Zariski-dense set of classical cuspidal automorphic forms only occur under very restrictive conditions. We show how to computationally determine when this is not the case and establish concrete examples of families interpolating only finitely many Bianchi modular forms. (C)& 2021 Elsevier Inc. All rights reserved.Mathematicsdensity of classical pointsrigiditybianchi modular formshida familieshecke algebrascohomologylevelgl2A finiteness result for p-adic families of Bianchi modular formstext::journal::journal article::research article