## Algebraic Geometry Seminar

Madeline Brandt

Brown University

Top Weight Cohomology of $A_g$

**Abstract:**I will discuss an active project in computing the top weight cohomology of the moduli space $A_g$ of principally polarized abelian varieties of dimension $g$ for small values of $g$. This piece of the cohomology is controlled by the combinatorics of the boundary strata of a compactification of $A_g$. Thus, it can be computed combinatorially. This is joint work with Juliette Bruce, Melody Chan, Margarida Melo, Gwyneth Moreland, and Corey Wolfe.

Monday October 26, 2020 at 4:00 PM in Zoom