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.