In recent years, several areas of Banach lattice theory have experienced high rates of growth. The workshop is going to concentrate on these recent developments, including free Banach lattices, order and uo-convergence, and applications to Math Finance. The goal of the workshop is to bring together the leading experts and active young researchers to discuss the current and future directions of these developments and to identify potential applications and the main open problems. We also plan to try to understand the "big picture" of connections between these developments and other areas of Functional Analysis.