Surveys in Differential Geometry

Volume 21 (2016)

Advances in geometry and mathematical physics

Lectures given at the Geometry and Topology conference at Harvard University in 2014

Editors: Cao; Yau

Contents

Preface

The size of the singular set of area-minimizing currents

Camillo De Lellis

pp. 1-83

Kähler–Einstein metrics and algebraic structures on limit spaces

Simon Donaldson

pp. 85-94

Theta functions and mirror symmetry

Mark Gross and Bernd Siebert

pp. 95-138

Higgs bundles and diffeomorphism groups

Nigel Hitchin

pp. 139-163

Topology of the space of cycles and existence of minimal varieties

Fernando C. Marques and André Neves

pp. 165-177

Constant mean curvature surfaces

William H. Meeks, Joaquín Pérez, and Giuseppe Tinaglia

pp. 179-287

Notes on the proof of the KKV conjecture

Rahul Pandharipande and Richard P. Thomas

pp. 289-311

Stable birational invariants and the Lüroth problem

Claire Voisin

pp. 313-342

Energy, momentum, and center of mass in general relativity

Mu-Tao Wang

pp. 343-352