## Algebraic Geometry Seminar

Samuel Grushevsky

SUNY Stony Brook

Homology of compactifications of moduli of cubic threefolds

**Abstract:**The moduli space of cubic threefolds can be thought of as a GIT quotient of the projective space of all cubic polynomials, studied via the period map to a ball quotient, or via the intermediate Jacobians. We describe the relations between various compactifications of the moduli space of cubic threefolds that arise in these ways, and compute their cohomology. Based on joint works with S. Casalaina-Martin, K. Hulek, R. Laza.

Monday October 5, 2020 at 4:15 PM in Zoom