PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov, Flossie Dunlop.

Title:A Glimpse of Several Complex Variables
Seminar:MASS Colloquium
Speaker:Steven Krantz, American Institute of Mathematics
Abstract:
We present two of the key results from the foundations of the function theory of several complex variables. These illustrate the fundamental differences between one complex variable and several complex variables. The first result is Hartogs's theorem about domains that are NOT domains of holomorphy. Contrast with one variable, where every domain is a domain of holomorphy. The second result is Poincare's theorem that the ball and the bidisc are biholomorphically inequivalent. Contrast with one variable, where the Riemann mapping theorem says that any two simply connected domains (except the plane) are conformally equivalent. Discussion will be provided to put these results in context, and to point to research areas of current interest.

Room Reservation Information

Room Number:MB113
Date:11 / 15 / 2007
Time:02:30pm - 03:20pm