Speaker: Ronald van Luijk
Abstract: In 2012, Keiji Oguiso showed that there exist projective K3 surfaces with a fixed point free automorphism of positive entropy. It turns out that these surfaces and the corresponding automorphisms actually coincide with a much easier description of certain quartic surfaces given by Cayley in 1870: they are the zerosets of the determinants of 4×4 matrices with linear forms in four variables as entries. We will give some concrete examples and show some pictures of the dynamics induced by these automorphisms. This is joint work with Dino Festo, Bert van Geemen, and Alice Garbagnati.