VolumeⅠ Preface Carrril Farkas and Ian Morrison Logarithmic geometry and moduli Dan Abramovich, Q/le Chen, Danny Gillam, Yuhao Huang, Martin Olsson, Invariant Hilbert schemes Algebraic and tropical curves: comparing their moduli spaces A superficial working guide to deformations and moduli Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes Equivariant geometry and the cohomology of the moduli space of curves Tautological and non-tautological cohomology of the moduli space of curves Alternate compactifications of moduli spaces of curves The cohomology of the moduli space ofAbelian varieties Moduli of K3 surfaces and irreduable symplectic manifolds Normal functions and the geometry of moduli spaces of curves Volume Ⅱ Parameter spaces of curves Global topology of the Hitchin system Differential forms on singular spaces, the minimal model program, and hyperboliaty of moduli stacks Contractible extremal rays on MO,n Moduli of varieties of general type Singularities of stable varieties Soliton equations and the Riemann-Schottky problem GIT and moduli with a twist Good degenerations of moduli spaces Localization in Gromov-Witten theory and Orbifold Gromov-Witten theory From WZW models to modular functors Shimura varieties and moduli The Torelli locus and special subvarieties Volume Ⅲ Birational geometry for nilpotent orbits Yoshinori Namikawa Cell decompositions of moduli space, lattice points and Hurwitz problems Paul Norbury Moduli of abelian varieties in mixed and in positive characteristic Frans Oort Local models of Shimura varieties, I. Geometry and combinatorics Georgios Pappas, Michael Rapoport and Brian Smithling Generalized theta linear series on moduli spaces of vector bundles on curves Mihnea Popa Computer aided unirationality proofs of moduli spaces Frank-Olaf Schreyer Deformation theory from the point of view of fibered categories Mattia Talpo and Angelo Vistoli Mumford's conjecture -- a topological outlook Ulrike Tillmann Rational parametrizations of moduli spaces of curves Alessandro Verra Hodge loci Claire Voisin Homological stability for mapping class groups of surfaces Nathalie Wahl
