A strongly convex (or "strongly C-convex") real hypersurface in C^n (or in complex projective space) inherits both the standard CR structure and a secondary "projective dual" structure. Thus our hypersurface comes equipped with two spaces of CR functions and the question arises as to how they interact.

This talk will go over two types of results on this general topic. (Some of the results to be discussed are from recent work with Dusty Grundmeier.) Speaker(s): David Barrett (University of Michigan)