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A Stacky Murphy’s Law for the Stack of Curves

Dan Bragg (University of Utah)
Tuesday, March 7, 2023 - 1:45pm
PDL C-38
Title: A Stacky Murphy’s Law for the Stack of Curves
Abstract: We show that every Deligne-Mumford gerbe over a field occurs as the residual gerbe of a point of the moduli stack of curves. Informally, this means that the moduli space of curves fails to be a fine moduli space in every possible way. We also show the same result for a list of other natural moduli problems. This is joint work with Max Lieblich.
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