The p-adic Riemann-Hilbert Correspondence

par Enguerrand Moulinier

mercredi 9 sept. 2026, 15:30 → 16:40 Europe/Paris

Salle Pierre Grisvard (IHP - Bâtiment Borel)

 

In this talk, I will introduce differential equations on p-adic analytic varieties. We will see how the ultrametric p-adic topology is an obstruction to a Cauchy-Lipschitz-type result. I will then show, following Scholze, how the pro-étale topology and the introduction of new numbers called "periods" provide a workaround to this issue.