Current Developments in Algebraic Geometry

1. Fibers of projections and submodules of deformations Roya Beheshti and David Eisenbud
2. Introduction to birational anabelian geometry Fedor Bogomolov and Yuri Tschinkel
3. Periods and moduli Olivier Debarre
4. The Hodge theory of character varieties Mark Andrea A. de Cataldo
5. Rigidity properties of Fano varieties Tommaso de Fernex and Christopher D. Hacon
6. The Schottky problem Samuel Grushevsky
7. Interpolation Joe Harris
8. Chow groups and derived categories of K3 surfaces Daniel Huybrechts
9. Geometry of varieties of minimal rational tangents Jun-Muk Hwang
10. Quotients by finite equivalence relations János Kollár
11. Higher-dimensional analogues of K3 surfaces Kieran G. O'Grady
12. Compactifications of moduli of abelian varieties: an introduction Martin Olsson
13. The geography of irregular surfaces Margarida Mendes Lopes and Rita Pardini
14. Basic results on irregular varieties via Fourier–Mukai methods Giuseppe Pareschi
15. Algebraic surfaces and hyperbolic geometry Burt Totaro.