AbstractI will report on some recent developments in the theory of p-adic differential equations. The talk will be an invitation to the theory and I'll try to maintain it accessible to a large audience.SpeakerResearch Interests:☑ Arithmetic Geometry☑ p-Adic Cohomologies - Rigid Cohomology - de Rham Cohomology☑ p-Adic Differential Equations on Berkovich Spaces☑ p-Adic Analysis - p-adic local...
Description:The first half of this course gives a general introduction to p-adic Hodge theory. The second part discusses recent topics, including the Fargues-Fontaine curve and p-adic period domains.Prerequisite:Algebraic number theory and algebraic geometryReference:Laurent Fargues and Jean-Marc Fontaine. Courbes et fibrés vectoriels en théorie de Hodge p-adique. Astérisque (406).Jean-Franç...