Dan Bragg (University of Utah)
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.