Do Duc Thai (Hanoi U. of Education):

Geometry of Domains in C^n with Noncompact Automorphism Groups.

We survey results arising from the study of domains in C^n with non-compact automorphism group in the past ten years. Beginning with well-known characterizations of smoothly bounded domains with non-compact automorphism group, we develop ideas toward characterizations of arbitrary (not necessary bounded) domains in C^n.