We investigate overconvergent p-adic automorphic forms (of finite slope) on definite unitary groups. In particular (under mild technical assumptions) we are prove a strong classicality criterion and in determine all ‚companion forms‘ of a given classical form (i.e. all p-adic forms that have the same system of Hecke-eigenvalues). The main method is to transfer these statements to questions about the geometry of a space parametrizing certain p-adic Galois representations of a local Galois group. We give a complete description of the local geometry of this space using that it is equi- singular to a scheme defined in terms of linear algebraic groups. This 'local model' also allows us to prove a Breuil-Mezard-type multiplicity formula for certain cycles in the deformation space of a crystalline Galois representation. This is joint work with C. Breuil and B. Schraen.
Freitag, den 14. Dezember 2018 um 13:30 Uhr, in INF 205, SR A Freitag, den 14. Dezember 2018 at 13:30, in INF 205, SR A
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Judith Ludwig