Complex Analysis III

Proceedings of the Special Year Held at the University of Maryland, College Park, 1985-86

Some recent successes in value-distribution theory.
Bergman — Szegö type theory for CR structures.
Regular complex geodesics for the domain Dn=((z1, ..., zn) ? ? n : |z1| + ... + |zn| < 1).
Subelliptic, second order differential operators.
Recent results on homogeneous complex manifolds.
Kähler-Einstein metrics for the case of positive first chern class.
Algebroid reduction of Nevanlinna theory.
An infinite-dimensional generalization of the Shilov boundary and infinite dimensional analytic structures in the spectrum of a uniform algebra.
New relations between Sibony-Basener boundaries.
Picard-fuchs differential equations for the quadratic periods of Abelian integrals of the first kind.
Holomorphic families of holomorphic isometries.
Complex Monge-Ampère equation and related problems.
Liouville theorems.
A final word.