Given two frames or bases for a Banach space, we want to study when
parts of one of the coordinate systems can be used to replace parts of
the other. A recent paper by Bemrose, Casazza, GrĂ¶chenig, Lammers, and
Lynch introduces this problem in the specific setting of Hilbert
spaces. We will present the basic concepts of weaving coordinate
systems in the general Banach space setting, present some theorems, and
give some counterexamples of where things can fail.

This is joint work
with Pete Casazza and Richard Lynch. The talk will be accessible to
graduate students.