In <em>Complex Potential Theory</em>, specialists in several complex variables meet with specialists in potential theory to demonstrate the interface and interconnections between their two fields. The
following topics are discussed:<ul> <li>Real and complex potential theory. Capacity and approximation, basic properties of plurisubharmonic functions and methods to manipulate their singularities and study
theory growth, Green functions, Chebyshev-like quadratures, electrostatic fields and potentials, propagation of smallness. </li> <li>Complex dynamics. Review of complex dynamics in one variable, Julia sets,
Fatou sets, background in several variables, Hénon maps, ergodicity use of potential theory and multifunctions. </li> <li>Banach algebras and infinite dimensional holomorphy. Analytic multifunctions, spectral
theory, analytic functions on a Banach space, semigroups of holomorphic isometries, Pick interpolation on uniform algebras and von Neumann inequalities for operators on a Hilbert space. </li> </ul>