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Recorded as part of the Generalized Symmetries: High-Energy, Condensed Matter and Mathematics KITP conference from Apr 7, 2025 - Apr 10, 2025 at the Kavli Institute for Theoretical Physics on the UC Santa Barbara campus. Over the past ten years tremendous progress has been achieved in quantum field theory thanks to the realization that symmetries can be interpreted in terms of the action of topological defects on the space of operators. This gives a generalization of the notion of symmetries, explicitly realized in many instances exploiting Lagrangian field theory techniques, uncovering a rich and unexpected landscape of physical effects in condensed matter, high energy physics, and quantum gravity. This conference will bring together the major experts in the subject, and strives to be an opportunity for participants to quickly get up to speed with the most recent advances and open problems in the field. Coordinators: Maissam Barkeshli, Michele Del Zotto, Sakura Schafer-Nameki, and Shu-Heng Shao More information: https://www.kitp.ucsb.edu/activities/... Recordings and slide decks: https://online.kitp.ucsb.edu/online/g... __________________________________ Connect with KITP everywhere: 🔗 https://www.kitp.ucsb.edu 𝕏 https://x.com/@kitp_ucsb 🦋 https://kitp-ucsb.bsky.social ▶ / @kitp_ucsb 💻 / kavli-institute-for-theoretical-physics __________________________________ The position of the KITP is that ownership and copyright of all online material -- slides, text, audio, video, and podcasts -- belongs to the author. KITP is providing dissemination for these materials but does not claim ownership. Any person citing these materials for scholarly purposes should provide an appropriate scholarly reference.