A stacky perspective on p-adic non-abelian Hodge theory

-
Arthur-C茅sar Le Bras, CNRS

In-Person and Online Talk

p-adic non abelian Hodge theory, also known as the p-adic Simpson correspondence, aims at describing p-adic local systems on a smooth rigid analytic variety in terms of Higgs bundles. I will explain in this talk why the 芦 Hodge-Tate stacks 禄 recently introduced by Bhatt-Lurie and Drinfeld in their work on prismatic cohomology can be useful to study this kind of questions.

Joint work with Johannes Ansch眉tz and Ben Heuer.