This e-book offers an outline of the most recent advancements in regards to the moduli of K3 surfaces. it truly is aimed toward algebraic geometers, yet can also be of curiosity to quantity theorists and theoretical physicists, and keeps the culture of comparable volumes like “The Moduli area of Curves” and “Moduli of Abelian Varieties,” which originated from meetings at the islands Texel and Schiermonnikoog and that have turn into classics.

K3 surfaces and their moduli shape a imperative subject in algebraic geometry and mathematics geometry, and feature lately attracted loads of consciousness from either mathematicians and theoretical physicists. Advances during this box usually consequence from blending refined suggestions from algebraic geometry, lattice concept, quantity concept, and dynamical platforms. the subject has acquired major impetus because of contemporary breakthroughs at the Tate conjecture, the learn of balance stipulations and derived different types, and hyperlinks with reflect symmetry and string thought. while, the speculation of irreducible holomorphic symplectic forms, the better dimensional analogues of K3 surfaces, has turn into a mainstream subject in algebraic geometry.

Contributors: S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, ok. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M. Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I. Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin.