Jonas Heintze (Universität Bonn): Poincare duality for Fargues Fontaine curve with almost coefficients

Abstract: The Fargues-Fontaine curve is a central geometric object in modern approaches to p-adic Hodge theory. In this talk, we will sketch ongoing work aimed at establishing Poincaré duality for the Fargues-Fontaine curve(s) viewed as analytic stacks using almost mathematics. This work is closely related to recent work of Anschütz, Le Bras, and Mann.