Graphene, a two-dimensional allotrope of carbon that was discovered only three years ago, is generating enormous excitement in the physics community. On the one hand, graphene can be considered a bench-top laboratory to investigate the fundamental interactions in matter since its elementary electronic excitations are two-dimensional Dirac fermions. On the other hand, graphene has the potential to generate a revolution in carbon-based nanoelectronics because of robustness of its electronic and structural properties. In this seminar, I will review the main physical properties of graphene and its possible technological applications.