The top weight cohomology of A_g

Friday, October 30, 2020 - 2:00pm to 3:00pm
Online via Zoom


Juliette Bruce
NSF postdoctoral fellow
University of California, Berkeley


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. 


 Password: smallest integer expressible as sum of two cubes in two different ways.


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