turkmath.org

Calibrated geometries are the geometries of distinguished submanifolds determined by a fixed, closed differential form $\phi$ on a Riemannian manifold $M$. They have attracted particular attention in recent years and have become a very active research area due to their strong relations with gauge theories in higher dimensions, mirror symmetry and modern string theory in Physics.\\ \indent In this talk, I will make an introduction to calibrated manifolds, and give the most well-known examples coming from special holonomy.