Seminarium i algebraisk geometri och talteori

Abstrakt finns enbart på engelska: Many different constructions of p-adic families of modular forms have been given over the years, starting with Serre's construction of the Eisenstein family. They tend to come in two flavours, using either algebro-geometric or homological techniques. I will sketch the main versions of the latter, and discuss the proof that they are the same. This is joint work with Guillem Tarrach and Vaughan MacDonald.