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This 42-minute conference talk by Apoorv Tiwari from the University of Southern Denmark explores gapped and gapless phases in (2+1) dimensions with non-invertible symmetries, presented at the Generalized Symmetries: High-Energy, Condensed Matter and Mathematics KITP conference held at the Kavli Institute for Theoretical Physics at UC Santa Barbara. Dive into the cutting-edge developments in quantum field theory that have emerged over the past decade, focusing on how symmetries can be interpreted through the action of topological defects on operator spaces. Learn about this generalized notion of symmetries that has revealed unexpected physical effects across condensed matter, high energy physics, and quantum gravity. The conference was coordinated by Maissam Barkeshli, Michele Del Zotto, Sakura Schafer-Nameki, and Shu-Heng Shao, bringing together leading experts to discuss recent advances and open problems in the field.
