2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230564In this paper, we introduce the interested reader to homological mirror symmetry. After recalling a little background knowledge, we tackle the simplest cases of homological mirror symmetry: curves of genus zero and one. We close by outlining the current state of the field and mentioning what homo- logical mirror symmetry has to say about other aspects of mirror symmetry.34 pages. Published version. Comments still very welcomeAlgebraic GeometryCategory TheorySymplectic Geometrytext