Recent developments in the theory of p-adic differential equations

Abstract

I 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.

Speaker

Research Interests:

☑ Arithmetic Geometry

☑ p-Adic Cohomologies - Rigid Cohomology - de Rham Cohomology

☑ p-Adic Differential Equations on Berkovich Spaces

☑ p-Adic Analysis - p-adic locally convex vector spaces

☑ p-Adic Deformation and Confluence - q-differences equations

☑ p-Adic Representations - Fontaine's theory

☑ Ramification theory

☑ Irregularity - Arithmetic and Differential Swan Conductors

Personal Homepage:

https://www-fourier.ujf-grenoble.fr/~pulitaa/