PIRSA:25030167

Matroids and the Moduli Space of Abelian Varieties

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}}
          }

Juliette Bruce Dartmouth College

Talk numberPIRSA:25030167
DOI10.48660/25030167
Collection
Talk Type Scientific Series
Subject

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.