Organizer: Qing-Rui Wang

Abstract: Recently, the notion of symmetry has been generalized, including high form, subsystem, and noninvertible symmetries. These novel symmetries have extended our understanding of topological phases of matter. In this talk, I will review the recent development on generalized symmetry, with a focus on noninvertible symmetry and the phases protected by it. I will present a general method to classify a broad class of noninvertible symmetry protected topological phases (NISPTs), together with concrete lattice realizations.