Algebraic Geometry Seminar: "Moduli of Surfaces in P3"
Kristin DeVleming, University of Washington-Seattle
Abstract: In the early 2000s, Hacking used tools of the Minimal Model Program to construct a KSBA-like compactification of the moduli space of plane curves. I will talk about a higher dimensional analog of this compactification: compactifying the moduli space of surfaces in three-space using pairs (X;D) representing degenerations of pairs (P3; S). In particular, I will discuss boundedness and a partial classification of the normal threefolds X appearing on the boundary.
Host: Matt Kerr