L[infinity symbol] extremal mappings in AMLE and Teichmüller theory / Luca Capogna
Curvature measures, isoperimetric type inequalities and fully nonlinear PDEs / Pengfei Guan
Refraction problems in geometric optics / Cristian E. Gutierez
On the Levi Monge-Ampère equation / Annamaria Montanari.
The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables. The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Guteirrez, and On the Levi Monge Ampère equation by Annamaria Montanari.