The top weight cohomology of Ag
Speaker:
Juliette Bruce, University of California Berkeley
Date and Time:
Friday, June 25, 2021 - 11:00am to 11:30am
Location:
Online
Abstract:
I will discuss recent work calculating the top weight cohomology of the moduli space Ag 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 Ag and the moduli space of tropical abelian varieties.
This is joint work with Madeline Brandt, Melody Chan, Margarida Melo, Gwyneth Moreland, and Corey Wolfe.