Madeline Brandt (Feb. 4, 2022):  Top Weight Cohomology of A_g
Channel: Algebraic Geometry at Stanford
Date: 05/02/2022

I will discuss a recent 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.