### Graduate Student Seminar, 4:30pm September 30, 2002, Hayes-Healy 229

#### Speaker:

Phil Harrington
#### Title:

An Introduction to the d-bar Neumann Problem
#### Abstract:

In several complex variables, we can characterize holomorphic functions as
the solutions to the Cauchy-Riemann equations (appropriately generalized
from one variable). In order to understand the properties of holomorphic
functions, it is helpful to be able to "solve" the Cauchy-Riemann equations,
which amounts to solving a first-order partial differential equation. The
first successful solution to this problem was Kohn's solution in the 1960's.
Kohn solved the problem by first solving an equivalent problem: the d-bar
Neumann problem, which was of independent interest in the theory of partial
differential equations. I will attempt to provide a gentle introduction to
the d-bar Neumann problem in order to show how it can be used to "solve" the
Cauchy-Riemann equations.
To volunteer to give a talk, or for any other questions regarding this schedule, contact Wesley Calvert