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Explore a cutting-edge lecture on inverse scattering in fluorescence microscopy presented by Anna Gilbert from Yale University at IPAM's Mathematical Advances for Multi-Dimensional Microscopy Workshop. Delve into a novel method for reconstructing optical properties of scattering media with subwavelength resolution, achieving an impressive ?/25 resolution in three-dimensional structures. Discover the connection between this technique and source localization in fluorescence microscopy. Gain insights into internal vs. external measurements, inverse problem solving, stable recovery, and spiny neuron reconstruction. Follow the iterative reconstruction process and understand its applications in advanced imaging techniques. This 32-minute talk, recorded on October 24, 2022, offers a comprehensive look at the latest developments in microscopy and optical imaging.