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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.
Gutierrez, and On the Levi Monge Ampere equation by Annamaria
Montanari.
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