Polynomial Projection Redux:
The 2008-2009 Picard Seminar

Abstract:  Polynomial projection, initially identified in the early 1990’s as a means affording the applicability of a modified Picard numerical scheme identified three years earlier, has provided a centerpiece for a theory that, as it has ripened, has provided continuing insights into broader arenas for its applicability. Paralleling these developments have been continuing improvements in the numerical schemes that have followed from understanding modified Picard. In this talk, we offer an expository description of the state of polynomial projection as of August, 2008, and state some of the questions (mostly still unanswered) that were addressed by the seminar.