@article{282cba0e500842f1a9f95abbd118be57,
title = "Ricci-flat metrics and dynamics on K3 surfaces",
abstract = "We give an overview of some recent interactions between the geometry of K3 surfaces and their Ricci-flat K{\"a}hler metrics and the dynamical study of K3 automorphisms with positive entropy.",
author = "Valentino Tosatti",
note = "Funding Information: This article is based on the author{\textquoteright}s plenary lecture at the XXI Congress of the Italian Mathematical Union that took place in Pavia on September 2–7, 2019, and the author would like to express his gratitude to the Scientific Committee for the invitation and to all the Organizers of this wonderful Congress. He is also grateful to S. Filip for many useful discussions and for helpful comments on this paper, and to the referee for suggestions. The author was partially supported by NSF grant DMS-1903147. This article was written during the author{\textquoteright}s stay at the Center for Mathematical Sciences and Applications at Harvard University, which he would like to thank for the hospitality. Funding Information: This article is based on the author?s plenary lecture at the XXI Congress of the Italian Mathematical Union that took place in Pavia on September 2?7, 2019, and the author would like to express his gratitude to the Scientific Committee for the invitation and to all the Organizers of this wonderful Congress. He is also grateful to S. Filip for many useful discussions and for helpful comments on this paper, and to the referee for suggestions. The author was partially supported by NSF grant DMS-1903147. This article was written during the author?s stay at the Center for Mathematical Sciences and Applications at Harvard University, which he would like to thank for the hospitality. Publisher Copyright: {\textcopyright} 2020, Unione Matematica Italiana.",
year = "2021",
month = mar,
doi = "10.1007/s40574-020-00269-y",
language = "English (US)",
volume = "14",
pages = "191--209",
journal = "Bolletino dell Unione Matematica Italiana",
issn = "1972-6724",
publisher = "Unione Matematica Italiana",
number = "1",
}