This publication presents an outline of the most recent advancements in regards to the moduli of K3 surfaces. it truly is geared toward algebraic geometers, yet is additionally of curiosity to quantity theorists and theoretical physicists, and maintains the culture of comparable volumes like “The Moduli house of Curves” and “Moduli of Abelian Varieties,” which originated from meetings at the islands Texel and Schiermonnikoog and that have develop into classics.

K3 surfaces and their moduli shape a critical subject in algebraic geometry and mathematics geometry, and feature lately attracted loads of recognition from either mathematicians and theoretical physicists. Advances during this box usually end result from blending refined options from algebraic geometry, lattice thought, quantity concept, and dynamical structures. the subject has bought major impetus as a result of fresh breakthroughs at the Tate conjecture, the learn of balance stipulations and derived different types, and hyperlinks with reflect symmetry and string conception. while, the speculation of irreducible holomorphic symplectic kinds, the better dimensional analogues of K3 surfaces, has develop into a mainstream subject in algebraic geometry.

Contributors: S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, okay. 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.

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