PIRSA:25030167 Scientific Series Mathematical physics

DOI10.48660/25030167

Series: Mathematical Physics

Bruce, J. (2025). Matroids and the Moduli Space of Abelian Varieties. Perimeter Institute. https://pirsa.org/25030167

Bruce, Juliette. Matroids and the Moduli Space of Abelian Varieties. Perimeter Institute, Mar. 13, 2025, https://pirsa.org/25030167 

@misc{ pirsa_PIRSA:25030167,
  doi = {10.48660/25030167},
  url = {https://pirsa.org/25030167},
  author = {Bruce, Juliette},
  keywords = {Mathematical physics},
  language = {en},
  title = {Matroids and the Moduli Space of Abelian Varieties},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {mar},
  note = {PIRSA:25030167 see, \url{https://pirsa.org}}
}

Abstract

Inspired by recent work calculating the top weight cohomology of the moduli space $\mathcal{A}_g$ of principally polarized abelian varieties of dimension $g$ for small values of $g$, I will discuss a connection between matroids and compactifications of $\mathcal{A}_g$ that is anlogous to the connection between graphs and compactifications of the moduli space of curves. Given time I will also discuss recent work computing the homology of various matroid complexes.

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