Appears in collection : 2024 IHES Summer School – Symmetries and Anomalies : a Modern Take

I will review some aspects of anomalies of d-dimensional QFTs from a modern viewpoint (in terms of a d+1 dimensional anomaly theory, the "anomaly theory"), how symmetries can be described in a related way in terms of a d+1 dimensional topological field theory (the "SymTFT") and how these d+1 theories arise from string theory.