Number/Representation Theory

In this talk, I will explain how to give a simple characterization of determining whether a profinite etale cover of an abelian variety is perfectoid. I will also explain how this result is motivated by (the geometric) Sen theory and confirms a conjecture of Rodríguez Camargo on perfectoidness of p-adic Lie torsors for abelian varieties. This is joint work with Rebecca Bellovin and Sean Howe.