Complex Geometric Analysis in Pohang: (Contemporary Mathematics)

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 write-ups 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 first-year 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.

Table of Contents:
Survey: A crash course in the function theory of several complex variables by K.-T. Kim and S. G. Krantz Plenary Lectures: External rays in the dynamics of polynomial automorphisms of ${\mathbf C}^2$ by E. Bedford and J. Smillie $G$-structures on irreducible Hermitian symmetric spaces of rank $\geq$ 2 and deformation rigidity by N. Mok Value distribution theory of holomorphic mappings by J. Noguchi Automorphisms of $\mathbb{C}^n$, a survey of Andersen-Lempert theory and applications by J.-P. Rosay Short Talks: Convex-like properties of the Teichmuller metric by M. Abate and G. Patrizio The Julia-Wolff-Caratheodory theorem(s) by M. Abate and R. Tauraso Maximal ideals in $A(\Omega)$ by U. Backlund and A. Fallstrom On the regularity of the complex Monge-Ampere operator by Z. Blocki $L^p$ and $H^p$ extensions of holomorphic functions from subvarieties by H. R. Cho Global holomorphic linearization of actions of compact Lie groups on $\mathbb{C}^n$ by H. Derksen and F. Kutzschebauch Covering properties of holomorphic mappings by P. M. Gauthier On the relations between the holomorphic extendability theorems and the finiteness properties by A. Hayashimoto Moduli space of ramified holomorphic coverings of $B^2$ by K.-T. Kim and A. F. Spiro A sufficient condition for solvability of the Dirichlet problem for the complex Monge-Ampere operator by S. Kolodziej $\Gamma$-invariant polynomials and proper maps by M. Landucci A simple proof of uniqueness for perturbations of the Mizohata operator by J.-P. Rosay.