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Back to Algebraic Geometry Seminar: Fall 2022

Algebraic Geometry Seminar


Date: Tuesday, Nov 1, 2022

Time: 3:30PM - 4:30PM

Location: LCB 323


Daniel Bragg

University of Utah

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.

Algebraic Geometry

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