# The top weight cohomology of $A_g$

### Juliette Bruce (UC Berkeley)

02-Oct-2020, 19:00-20:00 (5 months ago)

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.

algebraic geometry

Audience: researchers in the topic