unique and up-to-date source on the developments in this very active and

Connects to
other current topics: the study of derived categories and stability conditions,
Gromov-Witten theory, and dynamical systems

Complements related volumes like "The Moduli Space of Curves" and "Moduli of Abelian Varieties" that have become classics

Introduction.-
Samuel Boissière, Andrea Cattaneo, Marc
Nieper-Wisskirchen, and Alessandra Sarti: The automorphism group of the
Hilbert scheme of two points on a generic projective K3 surface.- Igor Dolgachev: Orbital counting of
curves on algebraic surfaces and sphere packings.- V. Gritsenko and K. Hulek: Moduli of polarized Enriques surfaces.- Brendan Hassett and Yuri Tschinkel: Extremal
rays and automorphisms of holomorphic symplectic varieties.- Gert Heckman and Sander Rieken: An odd
presentation for W(E_6).- S. Katz, A.
Klemm, and R. Pandharipande, with an appendix by R. P. Thomas: On the
motivic stable pairs invariants of K3 surfaces.- Shigeyuki Kondö: The Igusa quartic and Borcherds products.- Christian Liedtke: Lectures on
supersingular K3 surfaces and the crystalline Torelli theorem.- Daisuke Matsushita: On deformations of
Lagrangian fibrations.- G. Oberdieck and
R. Pandharipande: Curve counting on K3 x E,the Igusa cusp form X_10, and
descendent integration.- Keiji Oguiso:
Simple abelian varieties and primitive automorphisms of null entropy of
surfaces.- Ichiro Shimada: The
automorphism groups of certain singular K3 surfaces and an Enriques surface.- Alessandro Verra: Geometry of genus 8
Nikulin surfaces and rationality of their moduli.- Claire Voisin: Remarks and questions on coisotropic subvarieties
and 0-cycles of hyper-Kähler varieties.