2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/6867I review the theoretical understanding of the global structure of pulsar magnetospheres concentrating on recent progress in force-free electrodynamics and first-principles simulations of magnetospheres.Invited review, to appear in "Young Neutron Stars and Their Environments" (IAU Symposium 218, ASP Conference Proceedings), eds F. Camilo and B. M. Gaensler. 8 pages. Figures best viewed if printedAstrophysicstext