I will explain how the recent developments in so-called categorical or non-invertible symmetries can be used to make sharp predictions about phases -- gapped and gapless -- in the presence of such symmetries. This so-called a categorical Landau paradigm applied to 1+1d systems predicts new phases and phase transitions. In some instances these are extremely simple to implement in spin-chains and have a potential to be implemented in the very near future in cold atom systems

This one day event intends to bring together experts working at the intersection of String Theory and Quantum Field Theory in the vicinity of London. Four speakers will give 1.5 hour long blackboard talks. We hope to make it a recurrent event.