Giovanni Rosso: 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 extended their construction to families of cuspidal Siegel forms and how their work can be generalised to non-cuspidal forms.
This is joint work with Riccardo Brasca.