Nonlinear Partial Differential Equations are of fundamental importance in studying geometric and topological questions. Combining geometric insight and analytic techniques, the subject of partial differential equations arising from such questions has developed immensely in recent years. Simultaneously, a new range of challenges emerged.

The goal of this workshop is to bring together researchers in geometry and PDEs who will present the state of the art and highlight the new trends. The emphasis will be on nonlinear partial differential equations with applications to problems in Riemannian and Kähler geometry.

Topics will include real and complex Monge-Ampère equations, curvature equations in space forms and Minkowski space, geometric flows for hypersurfaces, Ricci flow, and other nonlinear PDEs arising in differential geometry and mathematical physics, notably in general relativity and string theory.