Automorphisms of K3 surfaces

I will review results on automorphisms of K3 surfaces. For example, how to compute the (full) automorphism group of a given K3 surface, and how to classify nite groups that can act on K3 surfaces. The latter was initiated by Nikulin. I will also show, if time permit, a few cases where a K3 surface with an automorphism of a maximal nite order can be uniquely determined.