In recent years, parallel developments in disciplines such as Geomorphology, Ecology, Neuroscience, Social Science and Systems Biology have focused on connectivity. Connectivity is a transformative concept in understanding complex systems, allowing unprecedented analysis of how such systems behave in terms of scaling, catastrophic/phase transitions, critical nodes, emergence and self-organization. In this session, we seek contributions where theoretical and practical advances in connectivity is being made within the physical sciences. Examples include learning from other disciplines, for instance by exploring the relations and dynamics between structural and functional connectivity and their wider application, and how to generate abstractions of specific systems so that connectivity tools can be employed. Contributions may focus on (i) Developing the theoretical underpinning of connectivity science for applications in complex systems; (ii) Developing methods and approaches in connectivity science that can be applied across disciplines; (iii) Exploring applications of connectivity science to understand, adapt to and manage complex systems and address real-world challenges in the physical sciences.