This volume comprises the proceedings of a conference on the geometric analysis of several complex variables held at POSTECH in June 1997. The conference was attended by scientists and students from around the globe. Each of the five plenary speakers at the conference gave a short course on a topic of current interest in the field. The lecture writeups contain cogent and accessible information intended for a broad audience. The volume also includes a tutorial in several complex variables given by Kim and Krantz at the conference. This tutorial is geared toward helping the novice to understand the rest of the material in the book. The bibliographies of the papers give students and young mathematicians a valuable resource for future learning on the topic. This book provides a substantial overview on areas of current activity. Required background for understanding the text is a solid undergraduate education in mathematics and familiarity with firstyear graduate studies in real and complex analysis. Some exposure to geometry would be helpful. The book is also suitable for use as a supplemental course text. Readership Graduate students, educators, experienced and novice research mathematicians interested in real and complex analysis. Table of Contents Survey  K.T. Kim and S. G. Krantz  A crash course in the function theory of several complex variables
Plenary Lectures  E. Bedford and J. Smillie  External rays in the dynamics of polynomial automorphisms of \({\mathbf C}^2\)
 N. Mok  \(G\)structures on irreducible Hermitian symmetric spaces of rank \(\geq 2\) and deformation rigidity
 J. Noguchi  Value distribution theory of holomorphic mappings
 J.P. Rosay  Automorphisms of \(\mathbb{C}^n\), a survey of AndersénLempert theory and applications
Short Talks  M. Abate and G. Patrizio  Convexlike properties of the Teichmüller metric
 M. Abate and R. Tauraso  The JuliaWolffCarathéodory theorem(s)
 U. Backlund and A. Fällström  Maximal ideals in \(A(\Omega)\)
 Z. Błocki  On the regularity of the complex MongeAmpère operator
 H. R. Cho  \(L^p\) and \(H^p\) extensions of holomorphic functions from subvarieties
 H. Derksen and F. Kutzschebauch  Global holomorphic linearization of actions of compact Lie groups on \(\mathbb{C}^n\)
 P. M. Gauthier  Covering properties of holomorphic mappings
 A. Hayashimoto  On the relations between the holomorphic extendability theorems and the finiteness properties
 K.T. Kim and A. F. Spiro  Moduli space of ramified holomorphic coverings of \(B^2\)
 S. Kołodziej  A sufficient condition for solvability of the Dirichlet problem for the complex MongeAmpère operator
 M. Landucci  \(\Gamma\)invariant polynomials and proper maps
 J.P. Rosay  A simple proof of uniqueness for perturbations of the Mizohata operator
