The aim of the project is to reinforce the collaboration between scientists from austrian research institutions and international institutions around the topic of infinite dimensional geometry. Direct applications of the theoretical aspects of infinite dimensional geometry to numerical schemes for solving partial differential equations coming from hydrodynamics, as well as medical applications of shape analysis are part of the program. The programme will last five 5 weeks, each devoted to different topic ranging from abstract theoretical questions to very concrete applications (e.g. medical).