Top Weight Cohomology of Ag - Computing Moduli Space Cohomology

Learn about computing the top weight cohomology of the moduli space $A_g$ of principally polarized abelian varieties in this 34-minute research talk from the Workshop on Nonlinear Algebra and Combinatorics from Physics at Harvard CMSA. Explore how the boundary strata combinatorics of an $A_g$ compactification controls this cohomology piece, enabling combinatorial computation methods. Discover findings from collaborative research examining small $g$ values, presented by Madeleine Brandt in conjunction with work from Juliette Bruce, Melody Chan, Margarida Melo, Gwyneth Moreland, and Corey Wolfe.