Number Theory Seminar

Speaker: Giovanni Rosso (Cambridge)

Title: Eigenvarieties for non-cuspidal Siegel modular forms.

Abstract: Since the seminal work of Serre and Swinnerton-Dyer, people have been interested in congruences between eigenforms. After recalling some foundational results of Hida and Coleman on p-adic families of modular forms, we shall explain how Andreatta, Iovita and Pilloni constructed families of cuspidal Siegel forms and how their work can be generalised to non-cuspidal forms. This is joint work with Riccardo Brasca.