Arithmetic and Differential Galois Groups

Abstract

Galois theory is the study of symmetries in solution spaces of polynomial and differential equations and more generally of the relation between automorphism groups (or group schemes respectively) and the structure of algebraic and differential extensions. The lectures of this workshop were focused around the following five main topics: the absolute Galois group GQ and the Grothendieck-Teichmüller group, étale fundamental groups and the anabelian conjecture, arithmetic Galois realizations and constructive Langlands program, local and global differential modules and the p-curvature conjecture, as well as Galois theory for nonlinear and partial differential equations.