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