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This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. While the speeches were of a specialized nature, the papers in the proceedings are largely of a survey and speculative nature. The volume is intended to serve both students and researchers as an invitation to active new areas of research. The level of the writing has been intentionally set in such a way that the papers will be accessible to a broad audience.
Recent progress and future directions in several complex variables.- Boundary singularities of biholomorphic maps.- Compactness of families of holomorphic mappings up to the boundary.- The imbedding problem for open complex manifolds.- A characterization of CP n by its automorphism group.- Proper mappings between balls in Cn.- Finite-type conditions for real hypersurfaces in—n.- Iterated commutators and derivatives of the levi form.- Plurisubharmonic functions on ring domains.- Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups.- Interpolation theory in Cn: A suryey.- Extendability of holomorphic functions.