Existence of moduli spaces
-- Jarod Alper, December 1, 2017

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The Keel-Mori theorem is a fundamental result that asserts that every separated Deligne-Mumford stack has a coarse moduli space.  We will discuss a generalization of this theorem to algebraic stacks with possibly infinite stabilizer groups, and we will apply this generalization to construct projective moduli spaces parameterizing Bridgeland semistable objects on a K3 surface.  This is joint work with Daniel Halpern-Leistner and Jochen Heinloth.