Explore cutting-edge research on quantum many-body dynamics using tweezer arrays in this 49-minute conference talk by Manuel Endres from Caltech. Delivered as part of the Noisy Intermediate-Scale Quantum Systems: Advances and Applications conference at the Kavli Institute for Theoretical Physics, this presentation delves into the latest advancements in integrable models across mathematical physics, condensed-matter physics, and string theory. Gain insights into topics such as integrable deformations of CFTs and IQFTs, integrable spin-chains and their non-equilibrium dynamics, and integrable structures on string worldsheets. Suitable for integrability practitioners from various backgrounds, this talk offers a comprehensive overview of the field, bridging the gap between different research areas and fostering collaboration among experts.