J. Blanc - Cremona group of rank 2 and rational surfaces 1
By J�r�my Blanc
I will present basic properties of the Cremona group in 2 variables. For instance\, the Noether-Castelnuovo theorem states that the group is generated by the group of automorphisms and the standard quadratic map. I will also make the link with conic bundles and del Pezzo surfaces\, which appear naturally when studying finite subgroups or more generally algebraic subgroups of the group.