Title: Moduli of weighted stable marked cubic surfaces
Speaker: Nolan Schock (U. Illinois Chicago)
Speaker's URL: https://nschock.github.io/
Abstract: The moduli space of cubic surfaces together with the labeled (marked) sum of their 27 lines is one of the most classical moduli spaces in algebraic geometry, dating back to the nineteenth century work of Cayley and Salmon. We describe the natural compactifications of these spaces by KSBA weighted stable pairs, generalizing work of Hacking-Keel-Tevelev and Gallardo-Kerr-Schaffler. We additionally discuss several aspects of the geometry of these moduli spaces, including explicit descriptions of their Chow and cohomology rings, and their cones of W(E_6)-invariant effective and nef divisors. Our techniques combine classical algebraic geometry and birational geometry with tropical geometry and combinatorics of root systems.
URL associated with Seminar: https://research.math.osu.edu/agseminar/
