Number Theory Seminar

Speaker: Ju-Feng Wu (Concordia University)

Title: Overconvergent Eichler-Shimura morphisms for (Siegel) modular forms

Abstract: A classical theorem of Eichler and Shimura tells us that the Betti cohomology of modular curves can be understood by spaces of modular forms. This theorem admits an arithmetic avatar provided by Faltings. In the early 2010s, Andreatta-Iovita-Stevens announced a partial generalisation of this theorem to p-adic families by constructing the so-called `overconvergent Eichler-Shimura morphisms'. In this talk, based on joint work with Hansheng Diao and Giovanni Rosso, I will explain how to use perfectoid method to construct the overconvergent Eichler-Shimura morphisms for (Siegel) modular forms. Such a strategy is inspired by the work of Chojecki-Hansen-Johansson in the case of automorphic forms over compact Shimura curves.

The talk will be exclusively on Zoom. To receive the Zoom link, please contact one of the organizers if you are not part of the Number Theory Seminar mailing list.