Preface vii
Scientific Program ix
Part 1
Spaces of stability conditions
T. Bridgeland 1
The crepant resolution conjecture
J. Bryan and T. Graber 23
Surfaces in background space and the homology of mapping class groups
R. L. 43
Geometric positivity in the cohomology of homogeneous spaces and generalized
Schubert calculus
I. Coskun and R. Vakil 77
The global geometry of the moduli space of curves
G. Farkas 125
The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations
M. Gross 149
Geometry of
S. Grushevsky 193
The global Torelli theorem: classical, derived, twisted
D. Huybrechts 235
On the geometry of Deligne-Mumford stacks
A. Kresch 259
Moduli spaces of sheaves and principal G-bundles
A. Langer 273
Notes on axiomatic Gromov-Witten theory and applications
Y.-P. Lee 309
Gromov-Witten theory, Hurwitz numbers, and matrix models
A. Okounkov and R. Pandharipande 325
Symplectic homology as Hochschild homology
P. Seidel 415
and its compactifications
Cohen and I. Madsen
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