Monday, October 29th, 2007
2:30pm - 3:55pm, in Science 2-065

Joe Perez

The delta bar Neumann Problem on Strongly Pseudoconvex G-Manifolds

Abstract: Folland, Kohn, and Nirenberg's solution of the delta bar Neumann problem, as presented in "The Neumann Problem for the Cauchy-Riemann Complex," is valid for compact complex manifolds. Here I announce a few results in a program to generalize as many of the results as possible from this work to the setting in which the complex manifold is a principal G-bundle with G unimodular Lie and the complex structure is invariant under the group's action.