2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225419This is a personal view of some problems on minimal surfaces, Ricci flow, polyhedral geometric structures, Haken 4-manifolds, contact structures and Heegaard splittings, singular incompressible surfaces after the Hamilton-Perelman revolution.This is the version published by Geometry & Topology Monographs on 3 December 2007Geometric Topology57M50, 53C42, 53C44, 57N13, 57R17text