This workshop will bring together researchers working on combinatorial analysis of Banach spaces and those specializing in forcing axioms. Central to the discussion will be combinatorial consequences of Martin's Maximum which are driven by applications and which are readily accessible to those working in analysis and other fields. The driving goal will be to progress our understanding in well known open problems in the the theory of Banach space such as the metrization problem for compact convex sets, the smooth bump problem, and the separable quotient problem.