Algebraic Geometry Seminar: Stability Conditions and the Moduli of PT-Stable Objects

In the first half of the talk, I will explain the notion of PT stability, as defined by Bayer. I will also explain how it is related to classical stability conditions on sheaves, and other Bridgeland-type stability conditions. In the second half of the talk, I will discuss results on the moduli space of PT-stable objects from my thesis. In particular, I will explain how to use semistable reduction to obtain the valuative criterion of completeness for PT-stable objects.