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Alonso Perez-Lona (May 18 2026 at 16:35):In treating differential cohomology through the hexagon, one has several maps involving an object (a spectrum) and its image under different modalities like the flat modality or the shape modality. There is in particular the canonical map from the object to its shape. My question is, is there a concrete characterization of the cokernel of this map ? I am particularly interested in the unstable case, meaning smooth infinity groupoids, but there might be better luck with spectra.