Explore a comprehensive lecture on non-invertible symmetries in one-dimensional quantum lattice models. Delve into a lattice realization of the Symmetry Topological Field Theory (SymTFT) picture for one-dimensional quantum models. Examine how this framework can be applied to study lattice models with non-invertible symmetries, investigate generalized gauging techniques, and construct renormalization group fixed points of gapped symmetric phases. Join Clément Delcamp from the Institut des Hautes Etudes Scientifiques (IHES) for this in-depth exploration of advanced concepts in quantum physics and symmetry.