From space, the human impact on the planet is seen by the spread of cities; but the cities themselves are spreading into much larger territories, amorphous sprawling areas between and surrounding cities - i.e. the 'peri-urban'. Arguably, the planet has not only entered the Anthropocene, but also a 'Peri-cene': a global human-environment system shaped by peri-urbanization. Around the world the peri-urban displays many characteristics: global hubs and local enclaves, sprawl and disorder, disruption of communities and livelihoods, and in particular, growing climate risks and ecological disruption. Peri-urbanisation is both a material process of land-use change and impact, and a human process of social, economic, political, and cultural transitions: whether informal or planned, intensive or extensive, the peri-urban is critical to the provision of urban food, energy and water. In turn, understanding peri-urbanisation is critical to three Sustainable Development Goals: Goal 11 on Sustainable Cities and Communities, Goal 13 on Climate Action, and Goal 15 for Life on Land. The PERI-CENE project will provide the first ever comprehensive assessment of peri-urbanisation climate impacts, risks and vulnerabilities. It will provide a global typology and global assessment with an inter-active peri-urban analysis tool. It builds an interactive Living Lab with 18 city-regions from around the world, and explores deeper issues in two case studies. The PERI-CENE then develops forward pathways to be scaleable and transferable.