2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118169We discuss some of the key ideas of Perelman's proof of Poincaré's conjecture via the Hamilton program of using the Ricci flow, from the perspective of the modern theory of nonlinear partial differential equations.42 pages, unpublishedDifferential GeometryAnalysis of PDEs53C44Perelman's proof of the Poincaré conjecture: a nonlinear PDE perspectivetext