The top weight cohomology of $A_g$

Juliette Bruce (UC Berkeley)

02-Oct-2020, 19:00-20:00 (13 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

( slides | video )


Stanford algebraic geometry seminar

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Organizer: Ravi Vakil*
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