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