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. Unfortunately, his proof did not lead to an explicit description of these surfaces. We will explain the relevant notions and we will see that these surfaces and the corresponding automorphisms actually coincide with a description of certain determinantal quartic surfaces given by Cayley in 1870. We will also 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.