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        "event_title":"RTG SEMINAR Topology, Geometry, Dynamics:   Dense subgroups of compact groups: two vignettes.",
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        "description":"I will talk about two loosely related results about\ndense subgroups of compact groups, one with Sven Sandfeldt,\nthe other with Michael Larsen.  The first concerns local rigidity\nof group actions, the second spectral gaps.  I hope to explain\nsome questions that arise in this context and invite people\nto think about them.",
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        "event_title":"Student AIM Seminar: Instrument-Aware Diffusion for Solar Magnetogram Reconstruction",
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        "combined_title":"Student AIM Seminar: Instrument-Aware Diffusion for Solar Magnetogram Reconstruction: Ian Augsburger",
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        "description":"Historical scientific archives often contain observations of lasting value that were acquired with lower-resolution instruments than those available today. Solar magnetograms provide a motivating example: the Michelson Doppler Imager (MDI) aboard the Solar and Heliospheric Observatory (SOHO) recorded decades of solar activity before the higher-resolution Helioseismic and Magnetic Imager (HMI) became available. We develop a generative framework that first learns how modern observations are transformed by an older instrument, uses this transformation to construct paired training data, and then trains a conditional diffusion model to reverse the loss of resolution. A scalable multiscale U-Net and DPM++ sampler generate multiple modern-quality reconstructions from each historical observation. More broadly, this provides a general strategy for connecting scientific archives across generations of instruments.",
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