Surveys in Differential Geometry, Vol. 10

Surveys in Differential Geometry (SDG) is an annual collection of the invaluable talks given at the JDG conference, as well as of remarks from invited scholars. The series presents an overview of recent trends, while making predictions and suggestions for future research. The SDG series is a beneficial collection for experts and non-experts alike, and in particular, for those independent of the mainstream of activity in the field of geometry.

Contents

On the space-time monopole equation
The Erhardt function for symbols
Recent results on the moduli spaces of Riemann surfaces
Applications of minimal surfaces to the topology of three-manifolds
An integral equation for spacetime curvature in general relativity
Topological strings and their physical applications
Notes on GIT and symplectic reduction for bundles and varieties
Perspectives on geometric analysis
Distributions in algebraic dynamics