2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63036We study fundamental groups of algebraic stacks. We show that these fundamental groups carry an additional structure coming from the inertia groups. Then use this additional structure to analyze geometric/ topological properties of stacks. We give an explicit formula for the fundamental group of the coarse moduli space. Also, we use these additional structures to give a necessary and sufficient for an algebraic stack to be uniformizable.31 pagesAlgebraic GeometryAlgebraic Topologytext