Abstract
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.
| Translated title of the contribution | Free proalgebraic groups |
|---|---|
| Original language | French |
| Article number | 1 |
| Number of pages | 36 |
| Journal | Épijournal de Géometrie Algébrique |
| Volume | 4 |
| DOIs | |
| Publication status | Published - 19 Feb 2020 |
Keywords
- Affine group schemes
- Differential Galois theory
- Embedding problems
- Proalgebraic groups
ASJC Scopus subject areas
- Geometry and Topology
- Algebra and Number Theory