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Explore the fascinating intersection of mathematics and genomics in this 56-minute seminar presented by Caroline Uhler from the Massachusetts Institute of Technology. Delve into the Mathematics of Genome Packing and Regulation, examining how the spatial organization of the genome influences gene expression and its implications for various diseases. Learn about geometric packing models and autoencoders in deep learning as tools for analyzing 3D genome organization. Discover the importance of higher-order contacts in reconstructing genome structure and how autoencoders can translate between DNA packing images and gene expression at the single-cell level. Gain insights into the theoretical aspects of autoencoders, including the relationship between over-parameterization and attractor properties. This thought-provoking talk, moderated by Kathlén Kohn from KTH Royal Institute of Technology, offers a unique perspective on the cutting-edge research in applied geometry and algebra within the context of genomics.