Abstract:The classical (multiple) polylogarithm functions play, through their special values, a prominent role in a number of arithmetic questions related to periods and motives. Crucially, these functions satisfy an algebraic differential equation, the KZ equation, from which many of their properties are derived. In particular, they can be written as iterated integrals of certain algebraic di...
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...