MAX: Material Design at Exascale. The Centre of Excellence for materials at the exascale. MaX is a user-focused, problem-oriented European Centre of Excellence (H2020 e-infrastructure) aimed to disenthrall the EU leadership in materials modelling, simulations, discovery and design. It works at the frontiers of the current and future High Performance Computing (HPC) technologies, to enable the best use and evolution of HPC for materials research and innovation. MaX is creating an ecosystem of capabilities, ambitious applications, data workflows and analysis, and user-oriented services. MaX strategy is focussed at enabling the exascale transition in the materials domain, by developing advanced programming models, novel algorithms, domain-specific libraries, in-memory data management, software/hardware co-design and technology-transfer actions.