Overconvergent Hilbert modular forms via perfectoid methods

Abstract: Following a construction of Chojecki-Hansen-Johansson, we show how to use Scholze's infinite level modular varieties and the Hodge-Tate period map to define overconvergent elliptic and Hilbert modular forms in a way analogous to the standard construction of modular forms. As an application we show that this is one way of constructing overconvergent Eichler-Shimura maps in these settings. This is joint work with Ben Heuer and Chris Williams.

Mathematics

Audience: researchers in the topic

Greek Algebra & Number Theory Seminar