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Generalized global symmetries occur in large classes of quantum field theories (QFTs). Whenever a QFT admits a string construction one can ask how structures associated with these symmetries lift and are characterized in the stringy realization of the QFT. For example topological operators realizing these symmetries in many cases admit an interpretation as branes wrapped purely within the asymptotic boundary. The string theory characterization of these structures then gives insights into the fate of these symmetries upon coupling multiple QFT sectors and/or turning on gravity. I will describe recent work in this direction.