Volume Ⅰ
Preface
Gavril Farkas and Ian Morrison
Logarithmic geometry and moduli
Dan Abramovich, Qile Chen, Danny Cillam, Yuhao Huang, Martin Olsson, Matthew Satriano and Shenghao Sun
Invariant Hilbert schemes
Michel Brion
Algebraic and tropical curves: comparing their moduli spaces
Lucia Caporaso
A superfiaal working guide to deformations and moduli
F. Catanese
Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes
Norman Do
Equivariant geometry and the cohomology of the moduli space of curves
Dan Edidin
Tautological and non-tautological cohomology of the moduli space of curves
C. Faber and R. Pandharipande
Alternate compaaifications of moduli spaces of curves
Maksym Fedorchuk and David Ishii Smyth
The cohomology of the moduli space ofAbelian varieties
Gerard van der Geer
Moduli of K3 surfaces and irreduable symplectic manifolds
V Gritsenko, K. Hulek and C.K. Sankaran
Normal functions and the geometry of moduli spaces of curves
Richard Hain
Volume Ⅱ
Parameter spaces of curves
Joe Harris
Global topology of the Hitchin system
Tamas Hausel
Differential forms on singular spaces, the minimal model program, and hyperboliaty of moduli stacks
Stefan Kebekus
Contractible extremal rays on Mo,n
Sean Keel and James McKernan
Moduli of varieties of general type
Janos Kollar
Singularities of stable varieties
Sandor J Kovacs
Soliton equations and the Riemann-Schottky problem
I. Krichever and T. Shiota
GIT and moduli with a twist
Radu Laza
Good degenerations of moduli spaces
Jun Li
Localization in Gromov-Witten theory and Orbifold Gromov-Witten theory
Chiu-Chu Melissa Liu
From WZW models to modular functors
Eduard Looijenga
Shimura varieties and moduli
J.s. Milne
The Torelli locus and special subvarieties
Ben Moonen and Frans Oort
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