The top weight cohomology of A_g
Abstract: I will discuss recent work calculating the top weight cohomology of the moduli space $A_g$ of principally polarized abelian varieties of dimension $g$ for small values of $g$. The key idea is that this piece of cohomology is encoded combinatorially via the relationship between the boundary complex of a compactification of $A_g$ and the moduli space of tropical abelian varieties. This is joint work with Madeline Brandt, Melody Chan, Margarida Melo, Gwyneth Moreland, and Corey Wolfe.
The discussion for Juliette Bruce’s talk is taking place not in zoom-chat, but at https://tinyurl.com/2020-10-02-jb (and will be deleted after ~3-7 days).