2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51401Recently, mirror symmetry is derived as T-duality applied to gauge systems that flow to non-linear sigma models. We present some of its applications to study quantum geometry involving D-branes. In particular, we show that one can employ D-branes wrapped on torus fibers to reproduce the mirror duality itself, realizing the program of Strominger-Yau-Zaslow in a slightly different context. Floer theory of intersecting Lagrangians plays an essential role.12 pages, ICM 2002 at BeijinHigh Energy Physics - Theorytext