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 ‘Hodge-Tate stacks’ recently introduced by Bhatt-Lurie and Drinfeld in their work on prismatic cohomology can be useful to study this kind of questions.
This video is part of the Institute for Advanced Study‘s Arithmetic geometry seminar.
