Watch this advanced physics seminar where Shenghan Jiang from the Kavli Institute for Theoretical Sciences UCAS explores the development of a comprehensive framework for studying correlated topological insulators using fermionic tensor network states. Learn about the challenges in expressing ground states of strongly correlated systems and discover how tensor equations can be used to construct edge theories and extract quantum anomaly data. Explore the systematic classification of topological insulator phases and understand the methodology for creating variational wavefunctions that could enable simulation of topological insulators in strongly correlated systems. Delve into the fascinating world of topological band insulators and their unique phases characterized by band topology indices, featuring extraordinary boundary modes protected by anomalous symmetry actions.