A Stacky Perspective on P-adic Non-abelian Hodge Theory - Arthur-Cesar Le Bras

Joint IAS/Princeton University Arithmetic Geometry Seminar
4:30pm|Rubenstein Commons | Meeting Room 5
Topic: A Stacky Perspective on P-adic Non-abelian Hodge Theory
Speaker: Arthur-Cesar Le Bras
Affiliation: Galilee Institute, University of Paris
Date: April 24, 2023

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.
Joint work with Johannes Anschütz and Ben Heuer.