This volume investigates the advanced mathematical field of pluripotential theory, a powerful tool with applications across geometry, complex analysis, and dynamics. The book compiles lectures from a 2011 CIME session in Cetraro, Italy, focusing on complex Monge-Ampère equations and the theory's applications to Kähler geometry, algebraic geometry, and holomorphic dynamics. It offers an extensive description of the theory, progressing from introductory concepts to current research questions.

This collection of lectures is presented as a resource for mathematicians interested in pluripotential theory. The content is structured to move from foundational concepts to the forefront of research, suggesting it is aimed at an audience with a solid background in the subject. The focus on specific advanced topics indicates a specialized readership within the mathematical community.