Preface ....................................................... vii
The size of the singular set of area-minimizing currents
Camillo De Lellis ............................................ 1
Kahler-Einstein metrics and algebraic structures on limit
spaces
Simon Donaldson ............................................. 85
Theta functions and mirror symmetry
Mark Gross, Bernd Siebert ................................... 95
Higgs bundles and diffeomorphism groups
Nigel Hitchin .............................................. 139
Topology of the space of cycles and existence of minimal
varieties
Fernando C. Marques, Andre Neves ........................... 165
Constant mean curvature surfaces
William H. Meeks III, Joaquín Pérez, Giuseppe Tinaglia ..... 179
Notes on the proof of the KKV conjecture
Rahul Pandharipande, Richard P. Thomas ..................... 289
Stable birational invariants and the Liiroth problem
Claire Voisin .............................................. 313
Energy, momentum, and center of mass in general relativity
Mu-Tao Wang ................................................ 343
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