Replacing finite groups by linear algebraic groups, we study an
algebraic-geometric counterpart of the theory of free profinite groups. In
particular, we introduce free proalgebraic groups and characterize them in
terms of embedding problems. The main motivation for this endeavor is a
differential analog of a conjecture of Shafarevic.
FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications; Financeur: National Science Foundation; Code: 1760212
FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications; Financeur: National Science Foundation; Code: 1760413
FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications; Financeur: National Science Foundation; Code: 1760448
Galois groups of differential equations; Financeur: Austrian Science Fund (FWF); Code: M 2582