2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52784After an elementary presentation of the relation between supersymmetric nonlinear sigma models and geometry, I focus on 2D and the target space geometry allowed when there is an extra supersymmetry. This leads to a brief introduction to generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. Finally I present worldsheet realizations of this geometry,Talk at Simons Workshop in Mathematics and Physics 2004, 11 pages 2 figuresHigh Energy Physics - Theorytext