On the top weight cohomology of the moduli space of abelian varieties

Abstract: The moduli space of abelian varieties Ag admits well behaved toroidal compactifications whose dual complex can be given a tropical interpretation. Therefore, one can use the techniques recently developed by Chan-Galatius-Payne in order to understand part of the topology of Ag via tropical geometry. In this talk, which is based in joint work with Madeleine Brandt, Juliette Bruce, Melody Chan, Gwyneth Moreland and Corey Wolfe, I will explain how to use this setup, and in particular computations in the perfect cone compactification of Ag, in order to describe its top weight cohomology for g up to 7.

algebraic geometrycombinatorics

Audience: researchers in the topic

(LAGARTOS) Latin American Real and Tropical Geometry Seminar

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